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Finding the Fourth Proportional to 6,657.49, 9,989.68 and 2,962.27

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Solution

The fourth proportional to 6,657.49, 9,989.68 and 2,962.27 is: 4,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.49 : 9,989.68 = 2,962.27 : x
  2. Step 2: Convert to fraction form
    6,657.49/9,989.68 = 2,962.27/x
  3. Step 3: Cross multiply
    6,657.49x = 9,989.68 × 2,962.27
  4. Step 4: Simplify right side
    6,657.49x = 29,592,129.37
  5. Step 5: Solve for x
    x = 29,592,129.37/6,657.49
  6. Step 6: Final answer
    x = 4,444.94

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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.