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Finding the Fourth Proportional to 8,434.84, 12,659.97 and 4,277.71

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Solution

The fourth proportional to 8,434.84, 12,659.97 and 4,277.71 is: 6,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.84 : 12,659.97 = 4,277.71 : x
  2. Step 2: Convert to fraction form
    8,434.84/12,659.97 = 4,277.71/x
  3. Step 3: Cross multiply
    8,434.84x = 12,659.97 × 4,277.71
  4. Step 4: Simplify right side
    8,434.84x = 54,155,658.88
  5. Step 5: Solve for x
    x = 54,155,658.88/8,434.84
  6. Step 6: Final answer
    x = 6,420.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.