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Finding the Fourth Proportional to 9,909.68, 13,675.76 and 5,433.80

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Solution

The fourth proportional to 9,909.68, 13,675.76 and 5,433.80 is: 7,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.68 : 13,675.76 = 5,433.80 : x
  2. Step 2: Convert to fraction form
    9,909.68/13,675.76 = 5,433.80/x
  3. Step 3: Cross multiply
    9,909.68x = 13,675.76 × 5,433.80
  4. Step 4: Simplify right side
    9,909.68x = 74,311,344.69
  5. Step 5: Solve for x
    x = 74,311,344.69/9,909.68
  6. Step 6: Final answer
    x = 7,498.86

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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.