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Finding the Fourth Proportional to 9,685.77, 13,366.58 and 5,494.02

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Solution

The fourth proportional to 9,685.77, 13,366.58 and 5,494.02 is: 7,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.77 : 13,366.58 = 5,494.02 : x
  2. Step 2: Convert to fraction form
    9,685.77/13,366.58 = 5,494.02/x
  3. Step 3: Cross multiply
    9,685.77x = 13,366.58 × 5,494.02
  4. Step 4: Simplify right side
    9,685.77x = 73,436,257.85
  5. Step 5: Solve for x
    x = 73,436,257.85/9,685.77
  6. Step 6: Final answer
    x = 7,581.87

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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.