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Finding the Fourth Proportional to 9,113.87, 12,531.70 and 7,785.20

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Solution

The fourth proportional to 9,113.87, 12,531.70 and 7,785.20 is: 10,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.87 : 12,531.70 = 7,785.20 : x
  2. Step 2: Convert to fraction form
    9,113.87/12,531.70 = 7,785.20/x
  3. Step 3: Cross multiply
    9,113.87x = 12,531.70 × 7,785.20
  4. Step 4: Simplify right side
    9,113.87x = 97,561,790.84
  5. Step 5: Solve for x
    x = 97,561,790.84/9,113.87
  6. Step 6: Final answer
    x = 10,704.76

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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.