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Finding the Fourth Proportional to 9,677.16, 13,353.48 and 5,902.20

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Solution

The fourth proportional to 9,677.16, 13,353.48 and 5,902.20 is: 8,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.16 : 13,353.48 = 5,902.20 : x
  2. Step 2: Convert to fraction form
    9,677.16/13,353.48 = 5,902.20/x
  3. Step 3: Cross multiply
    9,677.16x = 13,353.48 × 5,902.20
  4. Step 4: Simplify right side
    9,677.16x = 78,814,909.66
  5. Step 5: Solve for x
    x = 78,814,909.66/9,677.16
  6. Step 6: Final answer
    x = 8,144.43

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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.