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Finding the Fourth Proportional to 7,216.86, 9,960.75 and 4,234.26

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Solution

The fourth proportional to 7,216.86, 9,960.75 and 4,234.26 is: 5,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.86 : 9,960.75 = 4,234.26 : x
  2. Step 2: Convert to fraction form
    7,216.86/9,960.75 = 4,234.26/x
  3. Step 3: Cross multiply
    7,216.86x = 9,960.75 × 4,234.26
  4. Step 4: Simplify right side
    7,216.86x = 42,176,405.30
  5. Step 5: Solve for x
    x = 42,176,405.30/7,216.86
  6. Step 6: Final answer
    x = 5,844.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.