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Finding the Fourth Proportional to 9,761.10, 14,632.98 and 3,913.74

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Solution

The fourth proportional to 9,761.10, 14,632.98 and 3,913.74 is: 5,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.10 : 14,632.98 = 3,913.74 : x
  2. Step 2: Convert to fraction form
    9,761.10/14,632.98 = 3,913.74/x
  3. Step 3: Cross multiply
    9,761.10x = 14,632.98 × 3,913.74
  4. Step 4: Simplify right side
    9,761.10x = 57,269,679.15
  5. Step 5: Solve for x
    x = 57,269,679.15/9,761.10
  6. Step 6: Final answer
    x = 5,867.13

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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.