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Finding the Fourth Proportional to 9,937.92, 13,716 and 5,748.60

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Solution

The fourth proportional to 9,937.92, 13,716 and 5,748.60 is: 7,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.92 : 13,716 = 5,748.60 : x
  2. Step 2: Convert to fraction form
    9,937.92/13,716 = 5,748.60/x
  3. Step 3: Cross multiply
    9,937.92x = 13,716 × 5,748.60
  4. Step 4: Simplify right side
    9,937.92x = 78,847,797.60
  5. Step 5: Solve for x
    x = 78,847,797.60/9,937.92
  6. Step 6: Final answer
    x = 7,934.03

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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.