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Finding the Fourth Proportional to 6,123.48, 9,184.02 and 2,612.80

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Solution

The fourth proportional to 6,123.48, 9,184.02 and 2,612.80 is: 3,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.48 : 9,184.02 = 2,612.80 : x
  2. Step 2: Convert to fraction form
    6,123.48/9,184.02 = 2,612.80/x
  3. Step 3: Cross multiply
    6,123.48x = 9,184.02 × 2,612.80
  4. Step 4: Simplify right side
    6,123.48x = 23,996,007.46
  5. Step 5: Solve for x
    x = 23,996,007.46/6,123.48
  6. Step 6: Final answer
    x = 3,918.69

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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.