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Finding the Fourth Proportional to 9,170.28, 12,655.76 and 5,192.08

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Solution

The fourth proportional to 9,170.28, 12,655.76 and 5,192.08 is: 7,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.28 : 12,655.76 = 5,192.08 : x
  2. Step 2: Convert to fraction form
    9,170.28/12,655.76 = 5,192.08/x
  3. Step 3: Cross multiply
    9,170.28x = 12,655.76 × 5,192.08
  4. Step 4: Simplify right side
    9,170.28x = 65,709,718.38
  5. Step 5: Solve for x
    x = 65,709,718.38/9,170.28
  6. Step 6: Final answer
    x = 7,165.51

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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.