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Finding the Fourth Proportional to 9,641.03, 14,466.97 and 3,801.74

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Solution

The fourth proportional to 9,641.03, 14,466.97 and 3,801.74 is: 5,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.03 : 14,466.97 = 3,801.74 : x
  2. Step 2: Convert to fraction form
    9,641.03/14,466.97 = 3,801.74/x
  3. Step 3: Cross multiply
    9,641.03x = 14,466.97 × 3,801.74
  4. Step 4: Simplify right side
    9,641.03x = 54,999,590.95
  5. Step 5: Solve for x
    x = 54,999,590.95/9,641.03
  6. Step 6: Final answer
    x = 5,704.75

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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.