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Finding the Fourth Proportional to 9,686.53, 14,531.10 and 3,114.73

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Solution

The fourth proportional to 9,686.53, 14,531.10 and 3,114.73 is: 4,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.53 : 14,531.10 = 3,114.73 : x
  2. Step 2: Convert to fraction form
    9,686.53/14,531.10 = 3,114.73/x
  3. Step 3: Cross multiply
    9,686.53x = 14,531.10 × 3,114.73
  4. Step 4: Simplify right side
    9,686.53x = 45,260,364.87
  5. Step 5: Solve for x
    x = 45,260,364.87/9,686.53
  6. Step 6: Final answer
    x = 4,672.51

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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.