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Finding the Fourth Proportional to 7,132.30, 9,842.48 and 4,148.26

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Solution

The fourth proportional to 7,132.30, 9,842.48 and 4,148.26 is: 5,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.30 : 9,842.48 = 4,148.26 : x
  2. Step 2: Convert to fraction form
    7,132.30/9,842.48 = 4,148.26/x
  3. Step 3: Cross multiply
    7,132.30x = 9,842.48 × 4,148.26
  4. Step 4: Simplify right side
    7,132.30x = 40,829,166.08
  5. Step 5: Solve for x
    x = 40,829,166.08/7,132.30
  6. Step 6: Final answer
    x = 5,724.54

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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.