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Finding the Fourth Proportional to 10,275.29, 15,338.59 and 9,029.73

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Solution

The fourth proportional to 10,275.29, 15,338.59 and 9,029.73 is: 13,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.29 : 15,338.59 = 9,029.73 : x
  2. Step 2: Convert to fraction form
    10,275.29/15,338.59 = 9,029.73/x
  3. Step 3: Cross multiply
    10,275.29x = 15,338.59 × 9,029.73
  4. Step 4: Simplify right side
    10,275.29x = 138,503,303.71
  5. Step 5: Solve for x
    x = 138,503,303.71/10,275.29
  6. Step 6: Final answer
    x = 13,479.27

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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.