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Finding the Fourth Proportional to 8,646.14, 11,931 and 4,869.02

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Solution

The fourth proportional to 8,646.14, 11,931 and 4,869.02 is: 6,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.14 : 11,931 = 4,869.02 : x
  2. Step 2: Convert to fraction form
    8,646.14/11,931 = 4,869.02/x
  3. Step 3: Cross multiply
    8,646.14x = 11,931 × 4,869.02
  4. Step 4: Simplify right side
    8,646.14x = 58,092,277.62
  5. Step 5: Solve for x
    x = 58,092,277.62/8,646.14
  6. Step 6: Final answer
    x = 6,718.87

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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.