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Finding the Fourth Proportional to 6,132.24, 9,182.04 and 4,188.24

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Solution

The fourth proportional to 6,132.24, 9,182.04 and 4,188.24 is: 6,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.24 : 9,182.04 = 4,188.24 : x
  2. Step 2: Convert to fraction form
    6,132.24/9,182.04 = 4,188.24/x
  3. Step 3: Cross multiply
    6,132.24x = 9,182.04 × 4,188.24
  4. Step 4: Simplify right side
    6,132.24x = 38,456,587.21
  5. Step 5: Solve for x
    x = 38,456,587.21/6,132.24
  6. Step 6: Final answer
    x = 6,271.21

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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.