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Finding the Fourth Proportional to 6,688.72, 9,221.88 and 4,589.20

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Solution

The fourth proportional to 6,688.72, 9,221.88 and 4,589.20 is: 6,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.72 : 9,221.88 = 4,589.20 : x
  2. Step 2: Convert to fraction form
    6,688.72/9,221.88 = 4,589.20/x
  3. Step 3: Cross multiply
    6,688.72x = 9,221.88 × 4,589.20
  4. Step 4: Simplify right side
    6,688.72x = 42,321,051.70
  5. Step 5: Solve for x
    x = 42,321,051.70/6,688.72
  6. Step 6: Final answer
    x = 6,327.23

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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.