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Finding the Fourth Proportional to 8,184.24, 12,292.76 and 6,339.47

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Solution

The fourth proportional to 8,184.24, 12,292.76 and 6,339.47 is: 9,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.24 : 12,292.76 = 6,339.47 : x
  2. Step 2: Convert to fraction form
    8,184.24/12,292.76 = 6,339.47/x
  3. Step 3: Cross multiply
    8,184.24x = 12,292.76 × 6,339.47
  4. Step 4: Simplify right side
    8,184.24x = 77,929,537.62
  5. Step 5: Solve for x
    x = 77,929,537.62/8,184.24
  6. Step 6: Final answer
    x = 9,521.90

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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.