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Finding the Fourth Proportional to 9,612.87, 14,421.12 and 3,040.71

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Solution

The fourth proportional to 9,612.87, 14,421.12 and 3,040.71 is: 4,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.87 : 14,421.12 = 3,040.71 : x
  2. Step 2: Convert to fraction form
    9,612.87/14,421.12 = 3,040.71/x
  3. Step 3: Cross multiply
    9,612.87x = 14,421.12 × 3,040.71
  4. Step 4: Simplify right side
    9,612.87x = 43,850,443.80
  5. Step 5: Solve for x
    x = 43,850,443.80/9,612.87
  6. Step 6: Final answer
    x = 4,561.64

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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.