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Finding the Fourth Proportional to 9,141.44, 13,681.44 and 5,240

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Solution

The fourth proportional to 9,141.44, 13,681.44 and 5,240 is: 7,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.44 : 13,681.44 = 5,240 : x
  2. Step 2: Convert to fraction form
    9,141.44/13,681.44 = 5,240/x
  3. Step 3: Cross multiply
    9,141.44x = 13,681.44 × 5,240
  4. Step 4: Simplify right side
    9,141.44x = 71,690,745.60
  5. Step 5: Solve for x
    x = 71,690,745.60/9,141.44
  6. Step 6: Final answer
    x = 7,842.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.