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Finding the Fourth Proportional to 6,365.60, 9,545.70 and 3,079.70

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Solution

The fourth proportional to 6,365.60, 9,545.70 and 3,079.70 is: 4,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.60 : 9,545.70 = 3,079.70 : x
  2. Step 2: Convert to fraction form
    6,365.60/9,545.70 = 3,079.70/x
  3. Step 3: Cross multiply
    6,365.60x = 9,545.70 × 3,079.70
  4. Step 4: Simplify right side
    6,365.60x = 29,397,892.29
  5. Step 5: Solve for x
    x = 29,397,892.29/6,365.60
  6. Step 6: Final answer
    x = 4,618.24

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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.