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Finding the Fourth Proportional to 9,354.78, 12,891.74 and 6,697.58

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Solution

The fourth proportional to 9,354.78, 12,891.74 and 6,697.58 is: 9,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.78 : 12,891.74 = 6,697.58 : x
  2. Step 2: Convert to fraction form
    9,354.78/12,891.74 = 6,697.58/x
  3. Step 3: Cross multiply
    9,354.78x = 12,891.74 × 6,697.58
  4. Step 4: Simplify right side
    9,354.78x = 86,343,362.04
  5. Step 5: Solve for x
    x = 86,343,362.04/9,354.78
  6. Step 6: Final answer
    x = 9,229.87

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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.