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Finding the Fourth Proportional to 9,899.82, 13,661.72 and 5,423.84

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Solution

The fourth proportional to 9,899.82, 13,661.72 and 5,423.84 is: 7,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.82 : 13,661.72 = 5,423.84 : x
  2. Step 2: Convert to fraction form
    9,899.82/13,661.72 = 5,423.84/x
  3. Step 3: Cross multiply
    9,899.82x = 13,661.72 × 5,423.84
  4. Step 4: Simplify right side
    9,899.82x = 74,098,983.40
  5. Step 5: Solve for x
    x = 74,098,983.40/9,899.82
  6. Step 6: Final answer
    x = 7,484.88

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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.