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Finding the Fourth Proportional to 9,352.84, 12,913.14 and 6,217.96

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Solution

The fourth proportional to 9,352.84, 12,913.14 and 6,217.96 is: 8,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.84 : 12,913.14 = 6,217.96 : x
  2. Step 2: Convert to fraction form
    9,352.84/12,913.14 = 6,217.96/x
  3. Step 3: Cross multiply
    9,352.84x = 12,913.14 × 6,217.96
  4. Step 4: Simplify right side
    9,352.84x = 80,293,387.99
  5. Step 5: Solve for x
    x = 80,293,387.99/9,352.84
  6. Step 6: Final answer
    x = 8,584.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.