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Finding the Fourth Proportional to 9,143.57, 13,691.95 and 6,328.52

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Solution

The fourth proportional to 9,143.57, 13,691.95 and 6,328.52 is: 9,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.57 : 13,691.95 = 6,328.52 : x
  2. Step 2: Convert to fraction form
    9,143.57/13,691.95 = 6,328.52/x
  3. Step 3: Cross multiply
    9,143.57x = 13,691.95 × 6,328.52
  4. Step 4: Simplify right side
    9,143.57x = 86,649,695.13
  5. Step 5: Solve for x
    x = 86,649,695.13/9,143.57
  6. Step 6: Final answer
    x = 9,476.57

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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.