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Finding the Fourth Proportional to 6,612.04, 9,123.60 and 3,817

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Solution

The fourth proportional to 6,612.04, 9,123.60 and 3,817 is: 5,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612.04 : 9,123.60 = 3,817 : x
  2. Step 2: Convert to fraction form
    6,612.04/9,123.60 = 3,817/x
  3. Step 3: Cross multiply
    6,612.04x = 9,123.60 × 3,817
  4. Step 4: Simplify right side
    6,612.04x = 34,824,781.20
  5. Step 5: Solve for x
    x = 34,824,781.20/6,612.04
  6. Step 6: Final answer
    x = 5,266.87

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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.