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Finding the Fourth Proportional to 9,120.53, 12,585.97 and 5,141.54

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Solution

The fourth proportional to 9,120.53, 12,585.97 and 5,141.54 is: 7,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.53 : 12,585.97 = 5,141.54 : x
  2. Step 2: Convert to fraction form
    9,120.53/12,585.97 = 5,141.54/x
  3. Step 3: Cross multiply
    9,120.53x = 12,585.97 × 5,141.54
  4. Step 4: Simplify right side
    9,120.53x = 64,711,268.19
  5. Step 5: Solve for x
    x = 64,711,268.19/9,120.53
  6. Step 6: Final answer
    x = 7,095.12

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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.