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Finding the Fourth Proportional to 9,132.88, 13,696.08 and 3,586

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Solution

The fourth proportional to 9,132.88, 13,696.08 and 3,586 is: 5,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.88 : 13,696.08 = 3,586 : x
  2. Step 2: Convert to fraction form
    9,132.88/13,696.08 = 3,586/x
  3. Step 3: Cross multiply
    9,132.88x = 13,696.08 × 3,586
  4. Step 4: Simplify right side
    9,132.88x = 49,114,142.88
  5. Step 5: Solve for x
    x = 49,114,142.88/9,132.88
  6. Step 6: Final answer
    x = 5,377.73

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Why These Related Problems?

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