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Finding the Fourth Proportional to 9,138.02, 13,703.31 and 2,896.02

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Solution

The fourth proportional to 9,138.02, 13,703.31 and 2,896.02 is: 4,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.02 : 13,703.31 = 2,896.02 : x
  2. Step 2: Convert to fraction form
    9,138.02/13,703.31 = 2,896.02/x
  3. Step 3: Cross multiply
    9,138.02x = 13,703.31 × 2,896.02
  4. Step 4: Simplify right side
    9,138.02x = 39,685,059.83
  5. Step 5: Solve for x
    x = 39,685,059.83/9,138.02
  6. Step 6: Final answer
    x = 4,342.85

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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.