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Finding the Fourth Proportional to 9,252.81, 12,769.34 and 5,478.14

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Solution

The fourth proportional to 9,252.81, 12,769.34 and 5,478.14 is: 7,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.81 : 12,769.34 = 5,478.14 : x
  2. Step 2: Convert to fraction form
    9,252.81/12,769.34 = 5,478.14/x
  3. Step 3: Cross multiply
    9,252.81x = 12,769.34 × 5,478.14
  4. Step 4: Simplify right side
    9,252.81x = 69,952,232.23
  5. Step 5: Solve for x
    x = 69,952,232.23/9,252.81
  6. Step 6: Final answer
    x = 7,560.11

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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.