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Finding the Fourth Proportional to 10,468.38, 15,772.39 and 9,468.87

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Solution

The fourth proportional to 10,468.38, 15,772.39 and 9,468.87 is: 14,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.38 : 15,772.39 = 9,468.87 : x
  2. Step 2: Convert to fraction form
    10,468.38/15,772.39 = 9,468.87/x
  3. Step 3: Cross multiply
    10,468.38x = 15,772.39 × 9,468.87
  4. Step 4: Simplify right side
    10,468.38x = 149,346,710.50
  5. Step 5: Solve for x
    x = 149,346,710.50/10,468.38
  6. Step 6: Final answer
    x = 14,266.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.