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Finding the Fourth Proportional to 9,375.60, 14,064.12 and 2,801.28

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Solution

The fourth proportional to 9,375.60, 14,064.12 and 2,801.28 is: 4,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.60 : 14,064.12 = 2,801.28 : x
  2. Step 2: Convert to fraction form
    9,375.60/14,064.12 = 2,801.28/x
  3. Step 3: Cross multiply
    9,375.60x = 14,064.12 × 2,801.28
  4. Step 4: Simplify right side
    9,375.60x = 39,397,538.07
  5. Step 5: Solve for x
    x = 39,397,538.07/9,375.60
  6. Step 6: Final answer
    x = 4,202.14

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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.