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Finding the Fourth Proportional to 9,545.94, 14,314.28 and 3,306.31

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Solution

The fourth proportional to 9,545.94, 14,314.28 and 3,306.31 is: 4,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.94 : 14,314.28 = 3,306.31 : x
  2. Step 2: Convert to fraction form
    9,545.94/14,314.28 = 3,306.31/x
  3. Step 3: Cross multiply
    9,545.94x = 14,314.28 × 3,306.31
  4. Step 4: Simplify right side
    9,545.94x = 47,327,419.59
  5. Step 5: Solve for x
    x = 47,327,419.59/9,545.94
  6. Step 6: Final answer
    x = 4,957.86

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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.