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Finding the Fourth Proportional to 9,410.86, 14,108.47 and 7,340.04

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Solution

The fourth proportional to 9,410.86, 14,108.47 and 7,340.04 is: 11,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.86 : 14,108.47 = 7,340.04 : x
  2. Step 2: Convert to fraction form
    9,410.86/14,108.47 = 7,340.04/x
  3. Step 3: Cross multiply
    9,410.86x = 14,108.47 × 7,340.04
  4. Step 4: Simplify right side
    9,410.86x = 103,556,745.15
  5. Step 5: Solve for x
    x = 103,556,745.15/9,410.86
  6. Step 6: Final answer
    x = 11,003.96

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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.