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Finding the Fourth Proportional to 10,439.50, 14,414.07 and 6,719.98

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Solution

The fourth proportional to 10,439.50, 14,414.07 and 6,719.98 is: 9,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.50 : 14,414.07 = 6,719.98 : x
  2. Step 2: Convert to fraction form
    10,439.50/14,414.07 = 6,719.98/x
  3. Step 3: Cross multiply
    10,439.50x = 14,414.07 × 6,719.98
  4. Step 4: Simplify right side
    10,439.50x = 96,862,262.12
  5. Step 5: Solve for x
    x = 96,862,262.12/10,439.50
  6. Step 6: Final answer
    x = 9,278.44

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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.