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Finding the Fourth Proportional to 9,196.42, 12,691.01 and 5,004.66

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Solution

The fourth proportional to 9,196.42, 12,691.01 and 5,004.66 is: 6,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.42 : 12,691.01 = 5,004.66 : x
  2. Step 2: Convert to fraction form
    9,196.42/12,691.01 = 5,004.66/x
  3. Step 3: Cross multiply
    9,196.42x = 12,691.01 × 5,004.66
  4. Step 4: Simplify right side
    9,196.42x = 63,514,190.11
  5. Step 5: Solve for x
    x = 63,514,190.11/9,196.42
  6. Step 6: Final answer
    x = 6,906.40

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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.