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Finding the Fourth Proportional to 9,209.59, 12,717.35 and 6,847.63

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Solution

The fourth proportional to 9,209.59, 12,717.35 and 6,847.63 is: 9,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.59 : 12,717.35 = 6,847.63 : x
  2. Step 2: Convert to fraction form
    9,209.59/12,717.35 = 6,847.63/x
  3. Step 3: Cross multiply
    9,209.59x = 12,717.35 × 6,847.63
  4. Step 4: Simplify right side
    9,209.59x = 87,083,707.38
  5. Step 5: Solve for x
    x = 87,083,707.38/9,209.59
  6. Step 6: Final answer
    x = 9,455.76

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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.