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Finding the Fourth Proportional to 7,061.29, 9,742.89 and 4,407.73

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Solution

The fourth proportional to 7,061.29, 9,742.89 and 4,407.73 is: 6,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.29 : 9,742.89 = 4,407.73 : x
  2. Step 2: Convert to fraction form
    7,061.29/9,742.89 = 4,407.73/x
  3. Step 3: Cross multiply
    7,061.29x = 9,742.89 × 4,407.73
  4. Step 4: Simplify right side
    7,061.29x = 42,944,028.54
  5. Step 5: Solve for x
    x = 42,944,028.54/7,061.29
  6. Step 6: Final answer
    x = 6,081.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.