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Finding the Fourth Proportional to 9,339.29, 12,884.13 and 6,148.47

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Solution

The fourth proportional to 9,339.29, 12,884.13 and 6,148.47 is: 8,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.29 : 12,884.13 = 6,148.47 : x
  2. Step 2: Convert to fraction form
    9,339.29/12,884.13 = 6,148.47/x
  3. Step 3: Cross multiply
    9,339.29x = 12,884.13 × 6,148.47
  4. Step 4: Simplify right side
    9,339.29x = 79,217,686.78
  5. Step 5: Solve for x
    x = 79,217,686.78/9,339.29
  6. Step 6: Final answer
    x = 8,482.20

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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.