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Finding the Fourth Proportional to 9,468.12, 14,199.75 and 5,019.75

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Solution

The fourth proportional to 9,468.12, 14,199.75 and 5,019.75 is: 7,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.12 : 14,199.75 = 5,019.75 : x
  2. Step 2: Convert to fraction form
    9,468.12/14,199.75 = 5,019.75/x
  3. Step 3: Cross multiply
    9,468.12x = 14,199.75 × 5,019.75
  4. Step 4: Simplify right side
    9,468.12x = 71,279,195.06
  5. Step 5: Solve for x
    x = 71,279,195.06/9,468.12
  6. Step 6: Final answer
    x = 7,528.34

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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.