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Finding the Fourth Proportional to 7,224.85, 9,967.34 and 5,726.75

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Solution

The fourth proportional to 7,224.85, 9,967.34 and 5,726.75 is: 7,900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.85 : 9,967.34 = 5,726.75 : x
  2. Step 2: Convert to fraction form
    7,224.85/9,967.34 = 5,726.75/x
  3. Step 3: Cross multiply
    7,224.85x = 9,967.34 × 5,726.75
  4. Step 4: Simplify right side
    7,224.85x = 57,080,435.71
  5. Step 5: Solve for x
    x = 57,080,435.71/7,224.85
  6. Step 6: Final answer
    x = 7,900.58

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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.