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Finding the Fourth Proportional to 6,545.99, 9,033.42 and 3,561.77

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Solution

The fourth proportional to 6,545.99, 9,033.42 and 3,561.77 is: 4,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.99 : 9,033.42 = 3,561.77 : x
  2. Step 2: Convert to fraction form
    6,545.99/9,033.42 = 3,561.77/x
  3. Step 3: Cross multiply
    6,545.99x = 9,033.42 × 3,561.77
  4. Step 4: Simplify right side
    6,545.99x = 32,174,964.35
  5. Step 5: Solve for x
    x = 32,174,964.35/6,545.99
  6. Step 6: Final answer
    x = 4,915.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.