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Finding the Fourth Proportional to 9,595.97, 13,242.24 and 5,347.03

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Solution

The fourth proportional to 9,595.97, 13,242.24 and 5,347.03 is: 7,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.97 : 13,242.24 = 5,347.03 : x
  2. Step 2: Convert to fraction form
    9,595.97/13,242.24 = 5,347.03/x
  3. Step 3: Cross multiply
    9,595.97x = 13,242.24 × 5,347.03
  4. Step 4: Simplify right side
    9,595.97x = 70,806,654.55
  5. Step 5: Solve for x
    x = 70,806,654.55/9,595.97
  6. Step 6: Final answer
    x = 7,378.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.