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Finding the Fourth Proportional to 9,899.34, 13,661.09 and 5,423.16

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Solution

The fourth proportional to 9,899.34, 13,661.09 and 5,423.16 is: 7,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.34 : 13,661.09 = 5,423.16 : x
  2. Step 2: Convert to fraction form
    9,899.34/13,661.09 = 5,423.16/x
  3. Step 3: Cross multiply
    9,899.34x = 13,661.09 × 5,423.16
  4. Step 4: Simplify right side
    9,899.34x = 74,086,249.73
  5. Step 5: Solve for x
    x = 74,086,249.73/9,899.34
  6. Step 6: Final answer
    x = 7,483.96

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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.