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Finding the Fourth Proportional to 6,586.61, 9,832.96 and 6,355.89

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Solution

The fourth proportional to 6,586.61, 9,832.96 and 6,355.89 is: 9,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.61 : 9,832.96 = 6,355.89 : x
  2. Step 2: Convert to fraction form
    6,586.61/9,832.96 = 6,355.89/x
  3. Step 3: Cross multiply
    6,586.61x = 9,832.96 × 6,355.89
  4. Step 4: Simplify right side
    6,586.61x = 62,497,184.33
  5. Step 5: Solve for x
    x = 62,497,184.33/6,586.61
  6. Step 6: Final answer
    x = 9,488.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.