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Finding the Fourth Proportional to 9,909.78, 13,674.96 and 5,433.30

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Solution

The fourth proportional to 9,909.78, 13,674.96 and 5,433.30 is: 7,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.78 : 13,674.96 = 5,433.30 : x
  2. Step 2: Convert to fraction form
    9,909.78/13,674.96 = 5,433.30/x
  3. Step 3: Cross multiply
    9,909.78x = 13,674.96 × 5,433.30
  4. Step 4: Simplify right side
    9,909.78x = 74,300,160.17
  5. Step 5: Solve for x
    x = 74,300,160.17/9,909.78
  6. Step 6: Final answer
    x = 7,497.66

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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.