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Finding the Fourth Proportional to 9,657.95, 14,487.75 and 2,732.45

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Solution

The fourth proportional to 9,657.95, 14,487.75 and 2,732.45 is: 4,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.95 : 14,487.75 = 2,732.45 : x
  2. Step 2: Convert to fraction form
    9,657.95/14,487.75 = 2,732.45/x
  3. Step 3: Cross multiply
    9,657.95x = 14,487.75 × 2,732.45
  4. Step 4: Simplify right side
    9,657.95x = 39,586,980.05
  5. Step 5: Solve for x
    x = 39,586,980.05/9,657.95
  6. Step 6: Final answer
    x = 4,098.90

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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.