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Finding the Fourth Proportional to 9,315.93, 13,970.92 and 3,074.78

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Solution

The fourth proportional to 9,315.93, 13,970.92 and 3,074.78 is: 4,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.93 : 13,970.92 = 3,074.78 : x
  2. Step 2: Convert to fraction form
    9,315.93/13,970.92 = 3,074.78/x
  3. Step 3: Cross multiply
    9,315.93x = 13,970.92 × 3,074.78
  4. Step 4: Simplify right side
    9,315.93x = 42,957,435.54
  5. Step 5: Solve for x
    x = 42,957,435.54/9,315.93
  6. Step 6: Final answer
    x = 4,611.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.