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Finding the Fourth Proportional to 6,864.22, 9,466.84 and 5,445.66

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Solution

The fourth proportional to 6,864.22, 9,466.84 and 5,445.66 is: 7,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.22 : 9,466.84 = 5,445.66 : x
  2. Step 2: Convert to fraction form
    6,864.22/9,466.84 = 5,445.66/x
  3. Step 3: Cross multiply
    6,864.22x = 9,466.84 × 5,445.66
  4. Step 4: Simplify right side
    6,864.22x = 51,553,191.91
  5. Step 5: Solve for x
    x = 51,553,191.91/6,864.22
  6. Step 6: Final answer
    x = 7,510.42

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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.