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Finding the Fourth Proportional to 8,714.61, 13,069.80 and 6,105.47

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Solution

The fourth proportional to 8,714.61, 13,069.80 and 6,105.47 is: 9,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.61 : 13,069.80 = 6,105.47 : x
  2. Step 2: Convert to fraction form
    8,714.61/13,069.80 = 6,105.47/x
  3. Step 3: Cross multiply
    8,714.61x = 13,069.80 × 6,105.47
  4. Step 4: Simplify right side
    8,714.61x = 79,797,206.46
  5. Step 5: Solve for x
    x = 79,797,206.46/8,714.61
  6. Step 6: Final answer
    x = 9,156.72

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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.