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Finding the Fourth Proportional to 9,124.50, 13,687.63 and 4,195.52

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Solution

The fourth proportional to 9,124.50, 13,687.63 and 4,195.52 is: 6,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.50 : 13,687.63 = 4,195.52 : x
  2. Step 2: Convert to fraction form
    9,124.50/13,687.63 = 4,195.52/x
  3. Step 3: Cross multiply
    9,124.50x = 13,687.63 × 4,195.52
  4. Step 4: Simplify right side
    9,124.50x = 57,426,646.49
  5. Step 5: Solve for x
    x = 57,426,646.49/9,124.50
  6. Step 6: Final answer
    x = 6,293.68

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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.