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Finding the Fourth Proportional to 7,122.24, 9,824.96 and 4,464.64

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Solution

The fourth proportional to 7,122.24, 9,824.96 and 4,464.64 is: 6,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.24 : 9,824.96 = 4,464.64 : x
  2. Step 2: Convert to fraction form
    7,122.24/9,824.96 = 4,464.64/x
  3. Step 3: Cross multiply
    7,122.24x = 9,824.96 × 4,464.64
  4. Step 4: Simplify right side
    7,122.24x = 43,864,909.41
  5. Step 5: Solve for x
    x = 43,864,909.41/7,122.24
  6. Step 6: Final answer
    x = 6,158.86

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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.