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Finding the Fourth Proportional to 6,296.84, 9,437.88 and 2,597.24

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Solution

The fourth proportional to 6,296.84, 9,437.88 and 2,597.24 is: 3,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.84 : 9,437.88 = 2,597.24 : x
  2. Step 2: Convert to fraction form
    6,296.84/9,437.88 = 2,597.24/x
  3. Step 3: Cross multiply
    6,296.84x = 9,437.88 × 2,597.24
  4. Step 4: Simplify right side
    6,296.84x = 24,512,439.45
  5. Step 5: Solve for x
    x = 24,512,439.45/6,296.84
  6. Step 6: Final answer
    x = 3,892.82

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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.