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Finding the Fourth Proportional to 9,955.92, 14,940 and 5,797.77

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Solution

The fourth proportional to 9,955.92, 14,940 and 5,797.77 is: 8,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.92 : 14,940 = 5,797.77 : x
  2. Step 2: Convert to fraction form
    9,955.92/14,940 = 5,797.77/x
  3. Step 3: Cross multiply
    9,955.92x = 14,940 × 5,797.77
  4. Step 4: Simplify right side
    9,955.92x = 86,618,683.80
  5. Step 5: Solve for x
    x = 86,618,683.80/9,955.92
  6. Step 6: Final answer
    x = 8,700.22

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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.