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Finding the Fourth Proportional to 9,597.30, 13,244.03 and 5,348.38

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Solution

The fourth proportional to 9,597.30, 13,244.03 and 5,348.38 is: 7,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.30 : 13,244.03 = 5,348.38 : x
  2. Step 2: Convert to fraction form
    9,597.30/13,244.03 = 5,348.38/x
  3. Step 3: Cross multiply
    9,597.30x = 13,244.03 × 5,348.38
  4. Step 4: Simplify right side
    9,597.30x = 70,834,105.17
  5. Step 5: Solve for x
    x = 70,834,105.17/9,597.30
  6. Step 6: Final answer
    x = 7,380.63

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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.