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Finding the Fourth Proportional to 7,132.64, 9,833.16 and 6,148.40

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Solution

The fourth proportional to 7,132.64, 9,833.16 and 6,148.40 is: 8,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.64 : 9,833.16 = 6,148.40 : x
  2. Step 2: Convert to fraction form
    7,132.64/9,833.16 = 6,148.40/x
  3. Step 3: Cross multiply
    7,132.64x = 9,833.16 × 6,148.40
  4. Step 4: Simplify right side
    7,132.64x = 60,458,200.94
  5. Step 5: Solve for x
    x = 60,458,200.94/7,132.64
  6. Step 6: Final answer
    x = 8,476.27

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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.