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Finding the Fourth Proportional to 6,583.32, 9,869.85 and 3,294.72

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Solution

The fourth proportional to 6,583.32, 9,869.85 and 3,294.72 is: 4,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.32 : 9,869.85 = 3,294.72 : x
  2. Step 2: Convert to fraction form
    6,583.32/9,869.85 = 3,294.72/x
  3. Step 3: Cross multiply
    6,583.32x = 9,869.85 × 3,294.72
  4. Step 4: Simplify right side
    6,583.32x = 32,518,392.19
  5. Step 5: Solve for x
    x = 32,518,392.19/6,583.32
  6. Step 6: Final answer
    x = 4,939.51

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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.