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Finding the Fourth Proportional to 10,275.29, 15,338.58 and 9,029.71

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Solution

The fourth proportional to 10,275.29, 15,338.58 and 9,029.71 is: 13,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.29 : 15,338.58 = 9,029.71 : x
  2. Step 2: Convert to fraction form
    10,275.29/15,338.58 = 9,029.71/x
  3. Step 3: Cross multiply
    10,275.29x = 15,338.58 × 9,029.71
  4. Step 4: Simplify right side
    10,275.29x = 138,502,914.52
  5. Step 5: Solve for x
    x = 138,502,914.52/10,275.29
  6. Step 6: Final answer
    x = 13,479.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.