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Finding the Fourth Proportional to 10,442.40, 14,402.13 and 9,180.78

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Solution

The fourth proportional to 10,442.40, 14,402.13 and 9,180.78 is: 12,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.40 : 14,402.13 = 9,180.78 : x
  2. Step 2: Convert to fraction form
    10,442.40/14,402.13 = 9,180.78/x
  3. Step 3: Cross multiply
    10,442.40x = 14,402.13 × 9,180.78
  4. Step 4: Simplify right side
    10,442.40x = 132,222,787.06
  5. Step 5: Solve for x
    x = 132,222,787.06/10,442.40
  6. Step 6: Final answer
    x = 12,662.11

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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.