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Finding the Fourth Proportional to 9,777.92, 14,674.50 and 5,099.15

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Solution

The fourth proportional to 9,777.92, 14,674.50 and 5,099.15 is: 7,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.92 : 14,674.50 = 5,099.15 : x
  2. Step 2: Convert to fraction form
    9,777.92/14,674.50 = 5,099.15/x
  3. Step 3: Cross multiply
    9,777.92x = 14,674.50 × 5,099.15
  4. Step 4: Simplify right side
    9,777.92x = 74,827,513.36
  5. Step 5: Solve for x
    x = 74,827,513.36/9,777.92
  6. Step 6: Final answer
    x = 7,652.71

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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.