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Finding the Fourth Proportional to 9,315.88, 13,974.05 and 2,742.29

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Solution

The fourth proportional to 9,315.88, 13,974.05 and 2,742.29 is: 4,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.88 : 13,974.05 = 2,742.29 : x
  2. Step 2: Convert to fraction form
    9,315.88/13,974.05 = 2,742.29/x
  3. Step 3: Cross multiply
    9,315.88x = 13,974.05 × 2,742.29
  4. Step 4: Simplify right side
    9,315.88x = 38,320,886.96
  5. Step 5: Solve for x
    x = 38,320,886.96/9,315.88
  6. Step 6: Final answer
    x = 4,113.50

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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.