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Finding the Fourth Proportional to 9,301.95, 13,954.10 and 3,062.70

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Solution

The fourth proportional to 9,301.95, 13,954.10 and 3,062.70 is: 4,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.95 : 13,954.10 = 3,062.70 : x
  2. Step 2: Convert to fraction form
    9,301.95/13,954.10 = 3,062.70/x
  3. Step 3: Cross multiply
    9,301.95x = 13,954.10 × 3,062.70
  4. Step 4: Simplify right side
    9,301.95x = 42,737,206.76
  5. Step 5: Solve for x
    x = 42,737,206.76/9,301.95
  6. Step 6: Final answer
    x = 4,594.44

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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.