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Finding the Fourth Proportional to 9,737.60, 14,577.60 and 8,700.80

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Solution

The fourth proportional to 9,737.60, 14,577.60 and 8,700.80 is: 13,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.60 : 14,577.60 = 8,700.80 : x
  2. Step 2: Convert to fraction form
    9,737.60/14,577.60 = 8,700.80/x
  3. Step 3: Cross multiply
    9,737.60x = 14,577.60 × 8,700.80
  4. Step 4: Simplify right side
    9,737.60x = 126,836,782.08
  5. Step 5: Solve for x
    x = 126,836,782.08/9,737.60
  6. Step 6: Final answer
    x = 13,025.47

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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.