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Finding the Fourth Proportional to 10,037.79, 15,058.17 and 9,422.73

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Solution

The fourth proportional to 10,037.79, 15,058.17 and 9,422.73 is: 14,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.79 : 15,058.17 = 9,422.73 : x
  2. Step 2: Convert to fraction form
    10,037.79/15,058.17 = 9,422.73/x
  3. Step 3: Cross multiply
    10,037.79x = 15,058.17 × 9,422.73
  4. Step 4: Simplify right side
    10,037.79x = 141,889,070.20
  5. Step 5: Solve for x
    x = 141,889,070.20/10,037.79
  6. Step 6: Final answer
    x = 14,135.49

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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.