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Finding the Fourth Proportional to 9,323.16, 13,980.96 and 3,480.18

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Solution

The fourth proportional to 9,323.16, 13,980.96 and 3,480.18 is: 5,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.16 : 13,980.96 = 3,480.18 : x
  2. Step 2: Convert to fraction form
    9,323.16/13,980.96 = 3,480.18/x
  3. Step 3: Cross multiply
    9,323.16x = 13,980.96 × 3,480.18
  4. Step 4: Simplify right side
    9,323.16x = 48,656,257.37
  5. Step 5: Solve for x
    x = 48,656,257.37/9,323.16
  6. Step 6: Final answer
    x = 5,218.86

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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.