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Finding the Fourth Proportional to 9,695.38, 13,377.54 and 5,715.04

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Solution

The fourth proportional to 9,695.38, 13,377.54 and 5,715.04 is: 7,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.38 : 13,377.54 = 5,715.04 : x
  2. Step 2: Convert to fraction form
    9,695.38/13,377.54 = 5,715.04/x
  3. Step 3: Cross multiply
    9,695.38x = 13,377.54 × 5,715.04
  4. Step 4: Simplify right side
    9,695.38x = 76,453,109.31
  5. Step 5: Solve for x
    x = 76,453,109.31/9,695.38
  6. Step 6: Final answer
    x = 7,885.52

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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.