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Finding the Fourth Proportional to 6,292.70, 9,437.88 and 2,914.69

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Solution

The fourth proportional to 6,292.70, 9,437.88 and 2,914.69 is: 4,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.70 : 9,437.88 = 2,914.69 : x
  2. Step 2: Convert to fraction form
    6,292.70/9,437.88 = 2,914.69/x
  3. Step 3: Cross multiply
    6,292.70x = 9,437.88 × 2,914.69
  4. Step 4: Simplify right side
    6,292.70x = 27,508,494.46
  5. Step 5: Solve for x
    x = 27,508,494.46/6,292.70
  6. Step 6: Final answer
    x = 4,371.49

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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.