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Finding the Fourth Proportional to 9,119.70, 12,585.27 and 5,140.46

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Solution

The fourth proportional to 9,119.70, 12,585.27 and 5,140.46 is: 7,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.70 : 12,585.27 = 5,140.46 : x
  2. Step 2: Convert to fraction form
    9,119.70/12,585.27 = 5,140.46/x
  3. Step 3: Cross multiply
    9,119.70x = 12,585.27 × 5,140.46
  4. Step 4: Simplify right side
    9,119.70x = 64,694,077.02
  5. Step 5: Solve for x
    x = 64,694,077.02/9,119.70
  6. Step 6: Final answer
    x = 7,093.88

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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.