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Finding the Fourth Proportional to 9,748.57, 13,452.71 and 5,499.74

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Solution

The fourth proportional to 9,748.57, 13,452.71 and 5,499.74 is: 7,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.57 : 13,452.71 = 5,499.74 : x
  2. Step 2: Convert to fraction form
    9,748.57/13,452.71 = 5,499.74/x
  3. Step 3: Cross multiply
    9,748.57x = 13,452.71 × 5,499.74
  4. Step 4: Simplify right side
    9,748.57x = 73,986,413.43
  5. Step 5: Solve for x
    x = 73,986,413.43/9,748.57
  6. Step 6: Final answer
    x = 7,589.47

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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.