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Finding the Fourth Proportional to 9,283.98, 13,927.17 and 3,439.98

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Solution

The fourth proportional to 9,283.98, 13,927.17 and 3,439.98 is: 5,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.98 : 13,927.17 = 3,439.98 : x
  2. Step 2: Convert to fraction form
    9,283.98/13,927.17 = 3,439.98/x
  3. Step 3: Cross multiply
    9,283.98x = 13,927.17 × 3,439.98
  4. Step 4: Simplify right side
    9,283.98x = 47,909,186.26
  5. Step 5: Solve for x
    x = 47,909,186.26/9,283.98
  6. Step 6: Final answer
    x = 5,160.41

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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.