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Finding the Fourth Proportional to 6,863,984.50, 9,476,735.84 and 4,253,259.02

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Solution

The fourth proportional to 6,863,984.50, 9,476,735.84 and 4,253,259.02 is: 5,872,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,984.50 : 9,476,735.84 = 4,253,259.02 : x
  2. Step 2: Convert to fraction form
    6,863,984.50/9,476,735.84 = 4,253,259.02/x
  3. Step 3: Cross multiply
    6,863,984.50x = 9,476,735.84 × 4,253,259.02
  4. Step 4: Simplify right side
    6,863,984.50x = 40,307,012,191,637.27
  5. Step 5: Solve for x
    x = 40,307,012,191,637.27/6,863,984.50
  6. Step 6: Final answer
    x = 5,872,246.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.