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Finding the Fourth Proportional to 9,597.43, 13,244.87 and 5,348.50

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Solution

The fourth proportional to 9,597.43, 13,244.87 and 5,348.50 is: 7,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.43 : 13,244.87 = 5,348.50 : x
  2. Step 2: Convert to fraction form
    9,597.43/13,244.87 = 5,348.50/x
  3. Step 3: Cross multiply
    9,597.43x = 13,244.87 × 5,348.50
  4. Step 4: Simplify right side
    9,597.43x = 70,840,162.20
  5. Step 5: Solve for x
    x = 70,840,162.20/9,597.43
  6. Step 6: Final answer
    x = 7,381.16

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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.