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Finding the Fourth Proportional to 9,351.20, 12,895.44 and 7,254.56

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Solution

The fourth proportional to 9,351.20, 12,895.44 and 7,254.56 is: 10,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.20 : 12,895.44 = 7,254.56 : x
  2. Step 2: Convert to fraction form
    9,351.20/12,895.44 = 7,254.56/x
  3. Step 3: Cross multiply
    9,351.20x = 12,895.44 × 7,254.56
  4. Step 4: Simplify right side
    9,351.20x = 93,550,743.21
  5. Step 5: Solve for x
    x = 93,550,743.21/9,351.20
  6. Step 6: Final answer
    x = 10,004.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.