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Finding the Fourth Proportional to 9,290.13, 13,928.96 and 3,662.65

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Solution

The fourth proportional to 9,290.13, 13,928.96 and 3,662.65 is: 5,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.13 : 13,928.96 = 3,662.65 : x
  2. Step 2: Convert to fraction form
    9,290.13/13,928.96 = 3,662.65/x
  3. Step 3: Cross multiply
    9,290.13x = 13,928.96 × 3,662.65
  4. Step 4: Simplify right side
    9,290.13x = 51,016,931.91
  5. Step 5: Solve for x
    x = 51,016,931.91/9,290.13
  6. Step 6: Final answer
    x = 5,491.52

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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.