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Finding the Fourth Proportional to 9,552, 13,182.12 and 5,360.88

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Solution

The fourth proportional to 9,552, 13,182.12 and 5,360.88 is: 7,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552 : 13,182.12 = 5,360.88 : x
  2. Step 2: Convert to fraction form
    9,552/13,182.12 = 5,360.88/x
  3. Step 3: Cross multiply
    9,552x = 13,182.12 × 5,360.88
  4. Step 4: Simplify right side
    9,552x = 70,667,763.47
  5. Step 5: Solve for x
    x = 70,667,763.47/9,552
  6. Step 6: Final answer
    x = 7,398.22

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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.