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Finding the Fourth Proportional to 9,249.49, 13,904.31 and 7,420.61

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Solution

The fourth proportional to 9,249.49, 13,904.31 and 7,420.61 is: 11,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.49 : 13,904.31 = 7,420.61 : x
  2. Step 2: Convert to fraction form
    9,249.49/13,904.31 = 7,420.61/x
  3. Step 3: Cross multiply
    9,249.49x = 13,904.31 × 7,420.61
  4. Step 4: Simplify right side
    9,249.49x = 103,178,461.83
  5. Step 5: Solve for x
    x = 103,178,461.83/9,249.49
  6. Step 6: Final answer
    x = 11,155.04

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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.