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Finding the Fourth Proportional to 6,545.40, 9,776.46 and 5,623.62

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Solution

The fourth proportional to 6,545.40, 9,776.46 and 5,623.62 is: 8,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.40 : 9,776.46 = 5,623.62 : x
  2. Step 2: Convert to fraction form
    6,545.40/9,776.46 = 5,623.62/x
  3. Step 3: Cross multiply
    6,545.40x = 9,776.46 × 5,623.62
  4. Step 4: Simplify right side
    6,545.40x = 54,979,095.99
  5. Step 5: Solve for x
    x = 54,979,095.99/6,545.40
  6. Step 6: Final answer
    x = 8,399.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.