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Finding the Fourth Proportional to 9,240.10, 13,854.58 and 3,896.90

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Solution

The fourth proportional to 9,240.10, 13,854.58 and 3,896.90 is: 5,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.10 : 13,854.58 = 3,896.90 : x
  2. Step 2: Convert to fraction form
    9,240.10/13,854.58 = 3,896.90/x
  3. Step 3: Cross multiply
    9,240.10x = 13,854.58 × 3,896.90
  4. Step 4: Simplify right side
    9,240.10x = 53,989,937.70
  5. Step 5: Solve for x
    x = 53,989,937.70/9,240.10
  6. Step 6: Final answer
    x = 5,843.01

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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.