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Finding the Fourth Proportional to 9,287.85, 13,907.99 and 5,123.23

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Solution

The fourth proportional to 9,287.85, 13,907.99 and 5,123.23 is: 7,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.85 : 13,907.99 = 5,123.23 : x
  2. Step 2: Convert to fraction form
    9,287.85/13,907.99 = 5,123.23/x
  3. Step 3: Cross multiply
    9,287.85x = 13,907.99 × 5,123.23
  4. Step 4: Simplify right side
    9,287.85x = 71,253,851.34
  5. Step 5: Solve for x
    x = 71,253,851.34/9,287.85
  6. Step 6: Final answer
    x = 7,671.73

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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.