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Finding the Fourth Proportional to 9,275.20, 13,914.60 and 4,010.20

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Solution

The fourth proportional to 9,275.20, 13,914.60 and 4,010.20 is: 6,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.20 : 13,914.60 = 4,010.20 : x
  2. Step 2: Convert to fraction form
    9,275.20/13,914.60 = 4,010.20/x
  3. Step 3: Cross multiply
    9,275.20x = 13,914.60 × 4,010.20
  4. Step 4: Simplify right side
    9,275.20x = 55,800,328.92
  5. Step 5: Solve for x
    x = 55,800,328.92/9,275.20
  6. Step 6: Final answer
    x = 6,016.08

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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.