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Finding the Fourth Proportional to 9,680.92, 14,522.10 and 4,998.01

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Solution

The fourth proportional to 9,680.92, 14,522.10 and 4,998.01 is: 7,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.92 : 14,522.10 = 4,998.01 : x
  2. Step 2: Convert to fraction form
    9,680.92/14,522.10 = 4,998.01/x
  3. Step 3: Cross multiply
    9,680.92x = 14,522.10 × 4,998.01
  4. Step 4: Simplify right side
    9,680.92x = 72,581,601.02
  5. Step 5: Solve for x
    x = 72,581,601.02/9,680.92
  6. Step 6: Final answer
    x = 7,497.39

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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.