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Finding the Fourth Proportional to 9,557.53, 14,342.10 and 6,042.70

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Solution

The fourth proportional to 9,557.53, 14,342.10 and 6,042.70 is: 9,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.53 : 14,342.10 = 6,042.70 : x
  2. Step 2: Convert to fraction form
    9,557.53/14,342.10 = 6,042.70/x
  3. Step 3: Cross multiply
    9,557.53x = 14,342.10 × 6,042.70
  4. Step 4: Simplify right side
    9,557.53x = 86,665,007.67
  5. Step 5: Solve for x
    x = 86,665,007.67/9,557.53
  6. Step 6: Final answer
    x = 9,067.72

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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.