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Finding the Fourth Proportional to 6,205.68, 9,298.08 and 5,976

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Solution

The fourth proportional to 6,205.68, 9,298.08 and 5,976 is: 8,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.68 : 9,298.08 = 5,976 : x
  2. Step 2: Convert to fraction form
    6,205.68/9,298.08 = 5,976/x
  3. Step 3: Cross multiply
    6,205.68x = 9,298.08 × 5,976
  4. Step 4: Simplify right side
    6,205.68x = 55,565,326.08
  5. Step 5: Solve for x
    x = 55,565,326.08/6,205.68
  6. Step 6: Final answer
    x = 8,953.95

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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.