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Finding the Fourth Proportional to 9,597.54, 13,244.07 and 5,348.35

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Solution

The fourth proportional to 9,597.54, 13,244.07 and 5,348.35 is: 7,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.54 : 13,244.07 = 5,348.35 : x
  2. Step 2: Convert to fraction form
    9,597.54/13,244.07 = 5,348.35/x
  3. Step 3: Cross multiply
    9,597.54x = 13,244.07 × 5,348.35
  4. Step 4: Simplify right side
    9,597.54x = 70,833,921.78
  5. Step 5: Solve for x
    x = 70,833,921.78/9,597.54
  6. Step 6: Final answer
    x = 7,380.42

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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.