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Finding the Fourth Proportional to 9,545.74, 14,322.86 and 3,702.80

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Solution

The fourth proportional to 9,545.74, 14,322.86 and 3,702.80 is: 5,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.74 : 14,322.86 = 3,702.80 : x
  2. Step 2: Convert to fraction form
    9,545.74/14,322.86 = 3,702.80/x
  3. Step 3: Cross multiply
    9,545.74x = 14,322.86 × 3,702.80
  4. Step 4: Simplify right side
    9,545.74x = 53,034,686.01
  5. Step 5: Solve for x
    x = 53,034,686.01/9,545.74
  6. Step 6: Final answer
    x = 5,555.85

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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.