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Finding the Fourth Proportional to 9,616.76, 14,399.08 and 4,990.04

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Solution

The fourth proportional to 9,616.76, 14,399.08 and 4,990.04 is: 7,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.76 : 14,399.08 = 4,990.04 : x
  2. Step 2: Convert to fraction form
    9,616.76/14,399.08 = 4,990.04/x
  3. Step 3: Cross multiply
    9,616.76x = 14,399.08 × 4,990.04
  4. Step 4: Simplify right side
    9,616.76x = 71,852,008.69
  5. Step 5: Solve for x
    x = 71,852,008.69/9,616.76
  6. Step 6: Final answer
    x = 7,471.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.