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Finding the Fourth Proportional to 6,073.04, 9,109.58 and 1,912.95

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Solution

The fourth proportional to 6,073.04, 9,109.58 and 1,912.95 is: 2,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.04 : 9,109.58 = 1,912.95 : x
  2. Step 2: Convert to fraction form
    6,073.04/9,109.58 = 1,912.95/x
  3. Step 3: Cross multiply
    6,073.04x = 9,109.58 × 1,912.95
  4. Step 4: Simplify right side
    6,073.04x = 17,426,161.50
  5. Step 5: Solve for x
    x = 17,426,161.50/6,073.04
  6. Step 6: Final answer
    x = 2,869.43

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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.