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Finding the Fourth Proportional to 6,296.08, 9,443.58 and 2,597.40

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Solution

The fourth proportional to 6,296.08, 9,443.58 and 2,597.40 is: 3,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.08 : 9,443.58 = 2,597.40 : x
  2. Step 2: Convert to fraction form
    6,296.08/9,443.58 = 2,597.40/x
  3. Step 3: Cross multiply
    6,296.08x = 9,443.58 × 2,597.40
  4. Step 4: Simplify right side
    6,296.08x = 24,528,754.69
  5. Step 5: Solve for x
    x = 24,528,754.69/6,296.08
  6. Step 6: Final answer
    x = 3,895.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.