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Finding the Fourth Proportional to 6,366.35, 9,548.29 and 3,202.95

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Solution

The fourth proportional to 6,366.35, 9,548.29 and 3,202.95 is: 4,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.35 : 9,548.29 = 3,202.95 : x
  2. Step 2: Convert to fraction form
    6,366.35/9,548.29 = 3,202.95/x
  3. Step 3: Cross multiply
    6,366.35x = 9,548.29 × 3,202.95
  4. Step 4: Simplify right side
    6,366.35x = 30,582,695.46
  5. Step 5: Solve for x
    x = 30,582,695.46/6,366.35
  6. Step 6: Final answer
    x = 4,803.80

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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.