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Finding the Fourth Proportional to 9,137.88, 13,701.92 and 2,896.20

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Solution

The fourth proportional to 9,137.88, 13,701.92 and 2,896.20 is: 4,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.88 : 13,701.92 = 2,896.20 : x
  2. Step 2: Convert to fraction form
    9,137.88/13,701.92 = 2,896.20/x
  3. Step 3: Cross multiply
    9,137.88x = 13,701.92 × 2,896.20
  4. Step 4: Simplify right side
    9,137.88x = 39,683,486.22
  5. Step 5: Solve for x
    x = 39,683,486.22/9,137.88
  6. Step 6: Final answer
    x = 4,342.75

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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.