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Finding the Fourth Proportional to 9,178.16, 12,661.80 and 5,450

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Solution

The fourth proportional to 9,178.16, 12,661.80 and 5,450 is: 7,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.16 : 12,661.80 = 5,450 : x
  2. Step 2: Convert to fraction form
    9,178.16/12,661.80 = 5,450/x
  3. Step 3: Cross multiply
    9,178.16x = 12,661.80 × 5,450
  4. Step 4: Simplify right side
    9,178.16x = 69,006,810
  5. Step 5: Solve for x
    x = 69,006,810/9,178.16
  6. Step 6: Final answer
    x = 7,518.59

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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.