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Finding the Fourth Proportional to 9,281.50, 13,923.54 and 2,708.16

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Solution

The fourth proportional to 9,281.50, 13,923.54 and 2,708.16 is: 4,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.50 : 13,923.54 = 2,708.16 : x
  2. Step 2: Convert to fraction form
    9,281.50/13,923.54 = 2,708.16/x
  3. Step 3: Cross multiply
    9,281.50x = 13,923.54 × 2,708.16
  4. Step 4: Simplify right side
    9,281.50x = 37,707,174.09
  5. Step 5: Solve for x
    x = 37,707,174.09/9,281.50
  6. Step 6: Final answer
    x = 4,062.62

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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.