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Finding the Fourth Proportional to 9,742.60, 14,614.22 and 5,580.66

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Solution

The fourth proportional to 9,742.60, 14,614.22 and 5,580.66 is: 8,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.60 : 14,614.22 = 5,580.66 : x
  2. Step 2: Convert to fraction form
    9,742.60/14,614.22 = 5,580.66/x
  3. Step 3: Cross multiply
    9,742.60x = 14,614.22 × 5,580.66
  4. Step 4: Simplify right side
    9,742.60x = 81,557,061.74
  5. Step 5: Solve for x
    x = 81,557,061.74/9,742.60
  6. Step 6: Final answer
    x = 8,371.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.