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Finding the Fourth Proportional to 6,253.77, 9,385.11 and 4,614.60

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Solution

The fourth proportional to 6,253.77, 9,385.11 and 4,614.60 is: 6,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.77 : 9,385.11 = 4,614.60 : x
  2. Step 2: Convert to fraction form
    6,253.77/9,385.11 = 4,614.60/x
  3. Step 3: Cross multiply
    6,253.77x = 9,385.11 × 4,614.60
  4. Step 4: Simplify right side
    6,253.77x = 43,308,528.61
  5. Step 5: Solve for x
    x = 43,308,528.61/6,253.77
  6. Step 6: Final answer
    x = 6,925.19

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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.