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Finding the Fourth Proportional to 9,339.24, 13,967.52 and 8,306.46

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Solution

The fourth proportional to 9,339.24, 13,967.52 and 8,306.46 is: 12,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.24 : 13,967.52 = 8,306.46 : x
  2. Step 2: Convert to fraction form
    9,339.24/13,967.52 = 8,306.46/x
  3. Step 3: Cross multiply
    9,339.24x = 13,967.52 × 8,306.46
  4. Step 4: Simplify right side
    9,339.24x = 116,020,646.18
  5. Step 5: Solve for x
    x = 116,020,646.18/9,339.24
  6. Step 6: Final answer
    x = 12,422.92

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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.