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Finding the Fourth Proportional to 6,545.04, 9,028.26 and 6,107.64

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Solution

The fourth proportional to 6,545.04, 9,028.26 and 6,107.64 is: 8,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.04 : 9,028.26 = 6,107.64 : x
  2. Step 2: Convert to fraction form
    6,545.04/9,028.26 = 6,107.64/x
  3. Step 3: Cross multiply
    6,545.04x = 9,028.26 × 6,107.64
  4. Step 4: Simplify right side
    6,545.04x = 55,141,361.91
  5. Step 5: Solve for x
    x = 55,141,361.91/6,545.04
  6. Step 6: Final answer
    x = 8,424.91

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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.