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Finding the Fourth Proportional to 6,545.18, 9,033.86 and 3,894.10

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Solution

The fourth proportional to 6,545.18, 9,033.86 and 3,894.10 is: 5,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.18 : 9,033.86 = 3,894.10 : x
  2. Step 2: Convert to fraction form
    6,545.18/9,033.86 = 3,894.10/x
  3. Step 3: Cross multiply
    6,545.18x = 9,033.86 × 3,894.10
  4. Step 4: Simplify right side
    6,545.18x = 35,178,792.19
  5. Step 5: Solve for x
    x = 35,178,792.19/6,545.18
  6. Step 6: Final answer
    x = 5,374.76

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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.