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Finding the Fourth Proportional to 9,301.16, 13,952.12 and 2,375.84

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Solution

The fourth proportional to 9,301.16, 13,952.12 and 2,375.84 is: 3,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.16 : 13,952.12 = 2,375.84 : x
  2. Step 2: Convert to fraction form
    9,301.16/13,952.12 = 2,375.84/x
  3. Step 3: Cross multiply
    9,301.16x = 13,952.12 × 2,375.84
  4. Step 4: Simplify right side
    9,301.16x = 33,148,004.78
  5. Step 5: Solve for x
    x = 33,148,004.78/9,301.16
  6. Step 6: Final answer
    x = 3,563.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.