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Finding the Fourth Proportional to 9,219.88, 13,829.88 and 2,294.38

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Solution

The fourth proportional to 9,219.88, 13,829.88 and 2,294.38 is: 3,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.88 : 13,829.88 = 2,294.38 : x
  2. Step 2: Convert to fraction form
    9,219.88/13,829.88 = 2,294.38/x
  3. Step 3: Cross multiply
    9,219.88x = 13,829.88 × 2,294.38
  4. Step 4: Simplify right side
    9,219.88x = 31,731,000.07
  5. Step 5: Solve for x
    x = 31,731,000.07/9,219.88
  6. Step 6: Final answer
    x = 3,441.58

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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.