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Finding the Fourth Proportional to 8,737.71, 13,097.33 and 6,271.19

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Solution

The fourth proportional to 8,737.71, 13,097.33 and 6,271.19 is: 9,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.71 : 13,097.33 = 6,271.19 : x
  2. Step 2: Convert to fraction form
    8,737.71/13,097.33 = 6,271.19/x
  3. Step 3: Cross multiply
    8,737.71x = 13,097.33 × 6,271.19
  4. Step 4: Simplify right side
    8,737.71x = 82,135,820.71
  5. Step 5: Solve for x
    x = 82,135,820.71/8,737.71
  6. Step 6: Final answer
    x = 9,400.16

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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.