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Finding the Fourth Proportional to 9,074.30, 13,612.66 and 2,834.74

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Solution

The fourth proportional to 9,074.30, 13,612.66 and 2,834.74 is: 4,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.30 : 13,612.66 = 2,834.74 : x
  2. Step 2: Convert to fraction form
    9,074.30/13,612.66 = 2,834.74/x
  3. Step 3: Cross multiply
    9,074.30x = 13,612.66 × 2,834.74
  4. Step 4: Simplify right side
    9,074.30x = 38,588,351.81
  5. Step 5: Solve for x
    x = 38,588,351.81/9,074.30
  6. Step 6: Final answer
    x = 4,252.49

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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.