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Finding the Fourth Proportional to 9,748.01, 13,452.34 and 5,382.48

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Solution

The fourth proportional to 9,748.01, 13,452.34 and 5,382.48 is: 7,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.01 : 13,452.34 = 5,382.48 : x
  2. Step 2: Convert to fraction form
    9,748.01/13,452.34 = 5,382.48/x
  3. Step 3: Cross multiply
    9,748.01x = 13,452.34 × 5,382.48
  4. Step 4: Simplify right side
    9,748.01x = 72,406,951.00
  5. Step 5: Solve for x
    x = 72,406,951.00/9,748.01
  6. Step 6: Final answer
    x = 7,427.87

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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.