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Finding the Fourth Proportional to 9,220.14, 12,720.18 and 5,677.20

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Solution

The fourth proportional to 9,220.14, 12,720.18 and 5,677.20 is: 7,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.14 : 12,720.18 = 5,677.20 : x
  2. Step 2: Convert to fraction form
    9,220.14/12,720.18 = 5,677.20/x
  3. Step 3: Cross multiply
    9,220.14x = 12,720.18 × 5,677.20
  4. Step 4: Simplify right side
    9,220.14x = 72,215,005.90
  5. Step 5: Solve for x
    x = 72,215,005.90/9,220.14
  6. Step 6: Final answer
    x = 7,832.31

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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.