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Finding the Fourth Proportional to 9,884.32, 13,635.78 and 5,690.14

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Solution

The fourth proportional to 9,884.32, 13,635.78 and 5,690.14 is: 7,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.32 : 13,635.78 = 5,690.14 : x
  2. Step 2: Convert to fraction form
    9,884.32/13,635.78 = 5,690.14/x
  3. Step 3: Cross multiply
    9,884.32x = 13,635.78 × 5,690.14
  4. Step 4: Simplify right side
    9,884.32x = 77,589,497.21
  5. Step 5: Solve for x
    x = 77,589,497.21/9,884.32
  6. Step 6: Final answer
    x = 7,849.76

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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.