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Finding the Fourth Proportional to 9,046, 13,568.86 and 3,201.18

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Solution

The fourth proportional to 9,046, 13,568.86 and 3,201.18 is: 4,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046 : 13,568.86 = 3,201.18 : x
  2. Step 2: Convert to fraction form
    9,046/13,568.86 = 3,201.18/x
  3. Step 3: Cross multiply
    9,046x = 13,568.86 × 3,201.18
  4. Step 4: Simplify right side
    9,046x = 43,436,363.25
  5. Step 5: Solve for x
    x = 43,436,363.25/9,046
  6. Step 6: Final answer
    x = 4,801.72

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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.