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Finding the Fourth Proportional to 9,697.06, 14,545.18 and 3,772.32

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Solution

The fourth proportional to 9,697.06, 14,545.18 and 3,772.32 is: 5,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.06 : 14,545.18 = 3,772.32 : x
  2. Step 2: Convert to fraction form
    9,697.06/14,545.18 = 3,772.32/x
  3. Step 3: Cross multiply
    9,697.06x = 14,545.18 × 3,772.32
  4. Step 4: Simplify right side
    9,697.06x = 54,869,073.42
  5. Step 5: Solve for x
    x = 54,869,073.42/9,697.06
  6. Step 6: Final answer
    x = 5,658.32

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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.