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Finding the Fourth Proportional to 8,646.34, 11,931.69 and 6,298.42

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Solution

The fourth proportional to 8,646.34, 11,931.69 and 6,298.42 is: 8,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.34 : 11,931.69 = 6,298.42 : x
  2. Step 2: Convert to fraction form
    8,646.34/11,931.69 = 6,298.42/x
  3. Step 3: Cross multiply
    8,646.34x = 11,931.69 × 6,298.42
  4. Step 4: Simplify right side
    8,646.34x = 75,150,794.93
  5. Step 5: Solve for x
    x = 75,150,794.93/8,646.34
  6. Step 6: Final answer
    x = 8,691.63

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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.