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Finding the Fourth Proportional to 9,456.21, 14,174.46 and 5,290.11

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Solution

The fourth proportional to 9,456.21, 14,174.46 and 5,290.11 is: 7,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.21 : 14,174.46 = 5,290.11 : x
  2. Step 2: Convert to fraction form
    9,456.21/14,174.46 = 5,290.11/x
  3. Step 3: Cross multiply
    9,456.21x = 14,174.46 × 5,290.11
  4. Step 4: Simplify right side
    9,456.21x = 74,984,452.59
  5. Step 5: Solve for x
    x = 74,984,452.59/9,456.21
  6. Step 6: Final answer
    x = 7,929.65

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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.