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Finding the Fourth Proportional to 9,542.79, 14,314.05 and 3,700.53

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Solution

The fourth proportional to 9,542.79, 14,314.05 and 3,700.53 is: 5,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.79 : 14,314.05 = 3,700.53 : x
  2. Step 2: Convert to fraction form
    9,542.79/14,314.05 = 3,700.53/x
  3. Step 3: Cross multiply
    9,542.79x = 14,314.05 × 3,700.53
  4. Step 4: Simplify right side
    9,542.79x = 52,969,571.45
  5. Step 5: Solve for x
    x = 52,969,571.45/9,542.79
  6. Step 6: Final answer
    x = 5,550.74

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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.