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Finding the Fourth Proportional to 6,677.56, 9,212.22 and 4,689.40

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Solution

The fourth proportional to 6,677.56, 9,212.22 and 4,689.40 is: 6,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.56 : 9,212.22 = 4,689.40 : x
  2. Step 2: Convert to fraction form
    6,677.56/9,212.22 = 4,689.40/x
  3. Step 3: Cross multiply
    6,677.56x = 9,212.22 × 4,689.40
  4. Step 4: Simplify right side
    6,677.56x = 43,199,784.47
  5. Step 5: Solve for x
    x = 43,199,784.47/6,677.56
  6. Step 6: Final answer
    x = 6,469.40

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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.