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Finding the Fourth Proportional to 6,586.49, 9,873.93 and 3,294.92

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Solution

The fourth proportional to 6,586.49, 9,873.93 and 3,294.92 is: 4,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.49 : 9,873.93 = 3,294.92 : x
  2. Step 2: Convert to fraction form
    6,586.49/9,873.93 = 3,294.92/x
  3. Step 3: Cross multiply
    6,586.49x = 9,873.93 × 3,294.92
  4. Step 4: Simplify right side
    6,586.49x = 32,533,809.44
  5. Step 5: Solve for x
    x = 32,533,809.44/6,586.49
  6. Step 6: Final answer
    x = 4,939.48

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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.