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Finding the Fourth Proportional to 9,774.60, 14,655.99 and 3,844.38

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Solution

The fourth proportional to 9,774.60, 14,655.99 and 3,844.38 is: 5,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.60 : 14,655.99 = 3,844.38 : x
  2. Step 2: Convert to fraction form
    9,774.60/14,655.99 = 3,844.38/x
  3. Step 3: Cross multiply
    9,774.60x = 14,655.99 × 3,844.38
  4. Step 4: Simplify right side
    9,774.60x = 56,343,194.84
  5. Step 5: Solve for x
    x = 56,343,194.84/9,774.60
  6. Step 6: Final answer
    x = 5,764.25

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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.