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Finding the Fourth Proportional to 9,684.60, 13,371.14 and 7,442.40

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Solution

The fourth proportional to 9,684.60, 13,371.14 and 7,442.40 is: 10,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.60 : 13,371.14 = 7,442.40 : x
  2. Step 2: Convert to fraction form
    9,684.60/13,371.14 = 7,442.40/x
  3. Step 3: Cross multiply
    9,684.60x = 13,371.14 × 7,442.40
  4. Step 4: Simplify right side
    9,684.60x = 99,513,372.34
  5. Step 5: Solve for x
    x = 99,513,372.34/9,684.60
  6. Step 6: Final answer
    x = 10,275.42

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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.