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Finding the Fourth Proportional to 9,909.55, 13,676.04 and 5,434.16

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Solution

The fourth proportional to 9,909.55, 13,676.04 and 5,434.16 is: 7,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.55 : 13,676.04 = 5,434.16 : x
  2. Step 2: Convert to fraction form
    9,909.55/13,676.04 = 5,434.16/x
  3. Step 3: Cross multiply
    9,909.55x = 13,676.04 × 5,434.16
  4. Step 4: Simplify right side
    9,909.55x = 74,317,789.53
  5. Step 5: Solve for x
    x = 74,317,789.53/9,909.55
  6. Step 6: Final answer
    x = 7,499.61

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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.