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Finding the Fourth Proportional to 9,354.78, 12,909.57 and 5,163

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Solution

The fourth proportional to 9,354.78, 12,909.57 and 5,163 is: 7,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.78 : 12,909.57 = 5,163 : x
  2. Step 2: Convert to fraction form
    9,354.78/12,909.57 = 5,163/x
  3. Step 3: Cross multiply
    9,354.78x = 12,909.57 × 5,163
  4. Step 4: Simplify right side
    9,354.78x = 66,652,109.91
  5. Step 5: Solve for x
    x = 66,652,109.91/9,354.78
  6. Step 6: Final answer
    x = 7,124.93

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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.