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Finding the Fourth Proportional to 9,918.40, 13,687.42 and 5,442.34

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Solution

The fourth proportional to 9,918.40, 13,687.42 and 5,442.34 is: 7,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.40 : 13,687.42 = 5,442.34 : x
  2. Step 2: Convert to fraction form
    9,918.40/13,687.42 = 5,442.34/x
  3. Step 3: Cross multiply
    9,918.40x = 13,687.42 × 5,442.34
  4. Step 4: Simplify right side
    9,918.40x = 74,491,593.36
  5. Step 5: Solve for x
    x = 74,491,593.36/9,918.40
  6. Step 6: Final answer
    x = 7,510.44

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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.