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Finding the Fourth Proportional to 9,588.78, 13,232.48 and 5,397.03

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Solution

The fourth proportional to 9,588.78, 13,232.48 and 5,397.03 is: 7,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.78 : 13,232.48 = 5,397.03 : x
  2. Step 2: Convert to fraction form
    9,588.78/13,232.48 = 5,397.03/x
  3. Step 3: Cross multiply
    9,588.78x = 13,232.48 × 5,397.03
  4. Step 4: Simplify right side
    9,588.78x = 71,416,091.53
  5. Step 5: Solve for x
    x = 71,416,091.53/9,588.78
  6. Step 6: Final answer
    x = 7,447.88

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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.