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Finding the Fourth Proportional to 7,095.75, 9,792.75 and 3,952.55

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Solution

The fourth proportional to 7,095.75, 9,792.75 and 3,952.55 is: 5,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.75 : 9,792.75 = 3,952.55 : x
  2. Step 2: Convert to fraction form
    7,095.75/9,792.75 = 3,952.55/x
  3. Step 3: Cross multiply
    7,095.75x = 9,792.75 × 3,952.55
  4. Step 4: Simplify right side
    7,095.75x = 38,706,285.05
  5. Step 5: Solve for x
    x = 38,706,285.05/7,095.75
  6. Step 6: Final answer
    x = 5,454.85

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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.