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Finding the Fourth Proportional to 9,509.72, 14,267.95 and 4,244.25

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Solution

The fourth proportional to 9,509.72, 14,267.95 and 4,244.25 is: 6,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.72 : 14,267.95 = 4,244.25 : x
  2. Step 2: Convert to fraction form
    9,509.72/14,267.95 = 4,244.25/x
  3. Step 3: Cross multiply
    9,509.72x = 14,267.95 × 4,244.25
  4. Step 4: Simplify right side
    9,509.72x = 60,556,654.23
  5. Step 5: Solve for x
    x = 60,556,654.23/9,509.72
  6. Step 6: Final answer
    x = 6,367.87

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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.