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Finding the Fourth Proportional to 6,182.28, 9,262.62 and 5,148.90

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Solution

The fourth proportional to 6,182.28, 9,262.62 and 5,148.90 is: 7,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.28 : 9,262.62 = 5,148.90 : x
  2. Step 2: Convert to fraction form
    6,182.28/9,262.62 = 5,148.90/x
  3. Step 3: Cross multiply
    6,182.28x = 9,262.62 × 5,148.90
  4. Step 4: Simplify right side
    6,182.28x = 47,692,304.12
  5. Step 5: Solve for x
    x = 47,692,304.12/6,182.28
  6. Step 6: Final answer
    x = 7,714.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.