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Finding the Fourth Proportional to 8,946.18, 12,349.20 and 6,714.53

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Solution

The fourth proportional to 8,946.18, 12,349.20 and 6,714.53 is: 9,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.18 : 12,349.20 = 6,714.53 : x
  2. Step 2: Convert to fraction form
    8,946.18/12,349.20 = 6,714.53/x
  3. Step 3: Cross multiply
    8,946.18x = 12,349.20 × 6,714.53
  4. Step 4: Simplify right side
    8,946.18x = 82,919,012.13
  5. Step 5: Solve for x
    x = 82,919,012.13/8,946.18
  6. Step 6: Final answer
    x = 9,268.65

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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.