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Finding the Fourth Proportional to 9,560.64, 13,194.98 and 5,369.70

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Solution

The fourth proportional to 9,560.64, 13,194.98 and 5,369.70 is: 7,410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.64 : 13,194.98 = 5,369.70 : x
  2. Step 2: Convert to fraction form
    9,560.64/13,194.98 = 5,369.70/x
  3. Step 3: Cross multiply
    9,560.64x = 13,194.98 × 5,369.70
  4. Step 4: Simplify right side
    9,560.64x = 70,853,084.11
  5. Step 5: Solve for x
    x = 70,853,084.11/9,560.64
  6. Step 6: Final answer
    x = 7,410.91

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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.