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Finding the Fourth Proportional to 9,382.34, 12,947.06 and 5,132.60

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Solution

The fourth proportional to 9,382.34, 12,947.06 and 5,132.60 is: 7,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.34 : 12,947.06 = 5,132.60 : x
  2. Step 2: Convert to fraction form
    9,382.34/12,947.06 = 5,132.60/x
  3. Step 3: Cross multiply
    9,382.34x = 12,947.06 × 5,132.60
  4. Step 4: Simplify right side
    9,382.34x = 66,452,080.16
  5. Step 5: Solve for x
    x = 66,452,080.16/9,382.34
  6. Step 6: Final answer
    x = 7,082.68

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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.