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Finding the Fourth Proportional to 9,552.24, 13,182 and 5,360.46

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Solution

The fourth proportional to 9,552.24, 13,182 and 5,360.46 is: 7,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.24 : 13,182 = 5,360.46 : x
  2. Step 2: Convert to fraction form
    9,552.24/13,182 = 5,360.46/x
  3. Step 3: Cross multiply
    9,552.24x = 13,182 × 5,360.46
  4. Step 4: Simplify right side
    9,552.24x = 70,661,583.72
  5. Step 5: Solve for x
    x = 70,661,583.72/9,552.24
  6. Step 6: Final answer
    x = 7,397.38

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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.