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Finding the Fourth Proportional to 9,340.86, 14,015.54 and 3,497.92

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Solution

The fourth proportional to 9,340.86, 14,015.54 and 3,497.92 is: 5,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.86 : 14,015.54 = 3,497.92 : x
  2. Step 2: Convert to fraction form
    9,340.86/14,015.54 = 3,497.92/x
  3. Step 3: Cross multiply
    9,340.86x = 14,015.54 × 3,497.92
  4. Step 4: Simplify right side
    9,340.86x = 49,025,237.68
  5. Step 5: Solve for x
    x = 49,025,237.68/9,340.86
  6. Step 6: Final answer
    x = 5,248.47

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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.