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Finding the Fourth Proportional to 9,290.88, 13,940.64 and 4,091.04

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Solution

The fourth proportional to 9,290.88, 13,940.64 and 4,091.04 is: 6,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.88 : 13,940.64 = 4,091.04 : x
  2. Step 2: Convert to fraction form
    9,290.88/13,940.64 = 4,091.04/x
  3. Step 3: Cross multiply
    9,290.88x = 13,940.64 × 4,091.04
  4. Step 4: Simplify right side
    9,290.88x = 57,031,715.87
  5. Step 5: Solve for x
    x = 57,031,715.87/9,290.88
  6. Step 6: Final answer
    x = 6,138.46

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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.