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Finding the Fourth Proportional to 9,679,643.92, 14,482,984.20 and 5,774,659.84

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Solution

The fourth proportional to 9,679,643.92, 14,482,984.20 and 5,774,659.84 is: 8,640,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679,643.92 : 14,482,984.20 = 5,774,659.84 : x
  2. Step 2: Convert to fraction form
    9,679,643.92/14,482,984.20 = 5,774,659.84/x
  3. Step 3: Cross multiply
    9,679,643.92x = 14,482,984.20 × 5,774,659.84
  4. Step 4: Simplify right side
    9,679,643.92x = 83,634,307,223,094.52
  5. Step 5: Solve for x
    x = 83,634,307,223,094.52/9,679,643.92
  6. Step 6: Final answer
    x = 8,640,225.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.