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Finding the Fourth Proportional to 9,914.99, 14,868.78 and 6,951.92

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Solution

The fourth proportional to 9,914.99, 14,868.78 and 6,951.92 is: 10,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.99 : 14,868.78 = 6,951.92 : x
  2. Step 2: Convert to fraction form
    9,914.99/14,868.78 = 6,951.92/x
  3. Step 3: Cross multiply
    9,914.99x = 14,868.78 × 6,951.92
  4. Step 4: Simplify right side
    9,914.99x = 103,366,494.71
  5. Step 5: Solve for x
    x = 103,366,494.71/9,914.99
  6. Step 6: Final answer
    x = 10,425.28

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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.