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Finding the Fourth Proportional to 9,114.53, 13,673.15 and 2,873.88

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Solution

The fourth proportional to 9,114.53, 13,673.15 and 2,873.88 is: 4,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.53 : 13,673.15 = 2,873.88 : x
  2. Step 2: Convert to fraction form
    9,114.53/13,673.15 = 2,873.88/x
  3. Step 3: Cross multiply
    9,114.53x = 13,673.15 × 2,873.88
  4. Step 4: Simplify right side
    9,114.53x = 39,294,977.95
  5. Step 5: Solve for x
    x = 39,294,977.95/9,114.53
  6. Step 6: Final answer
    x = 4,311.25

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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.