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Finding the Fourth Proportional to 9,848.90, 13,591.53 and 5,372.64

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Solution

The fourth proportional to 9,848.90, 13,591.53 and 5,372.64 is: 7,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.90 : 13,591.53 = 5,372.64 : x
  2. Step 2: Convert to fraction form
    9,848.90/13,591.53 = 5,372.64/x
  3. Step 3: Cross multiply
    9,848.90x = 13,591.53 × 5,372.64
  4. Step 4: Simplify right side
    9,848.90x = 73,022,397.74
  5. Step 5: Solve for x
    x = 73,022,397.74/9,848.90
  6. Step 6: Final answer
    x = 7,414.27

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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.