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Finding the Fourth Proportional to 9,339.54, 13,991.31 and 5,830.92

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Solution

The fourth proportional to 9,339.54, 13,991.31 and 5,830.92 is: 8,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.54 : 13,991.31 = 5,830.92 : x
  2. Step 2: Convert to fraction form
    9,339.54/13,991.31 = 5,830.92/x
  3. Step 3: Cross multiply
    9,339.54x = 13,991.31 × 5,830.92
  4. Step 4: Simplify right side
    9,339.54x = 81,582,209.31
  5. Step 5: Solve for x
    x = 81,582,209.31/9,339.54
  6. Step 6: Final answer
    x = 8,735.14

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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.