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Finding the Fourth Proportional to 9,737.41, 14,608.08 and 3,074.95

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Solution

The fourth proportional to 9,737.41, 14,608.08 and 3,074.95 is: 4,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.41 : 14,608.08 = 3,074.95 : x
  2. Step 2: Convert to fraction form
    9,737.41/14,608.08 = 3,074.95/x
  3. Step 3: Cross multiply
    9,737.41x = 14,608.08 × 3,074.95
  4. Step 4: Simplify right side
    9,737.41x = 44,919,043.16
  5. Step 5: Solve for x
    x = 44,919,043.16/9,737.41
  6. Step 6: Final answer
    x = 4,613.04

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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.