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Finding the Fourth Proportional to 7,220.64, 9,964.35 and 4,033.92

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Solution

The fourth proportional to 7,220.64, 9,964.35 and 4,033.92 is: 5,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.64 : 9,964.35 = 4,033.92 : x
  2. Step 2: Convert to fraction form
    7,220.64/9,964.35 = 4,033.92/x
  3. Step 3: Cross multiply
    7,220.64x = 9,964.35 × 4,033.92
  4. Step 4: Simplify right side
    7,220.64x = 40,195,390.75
  5. Step 5: Solve for x
    x = 40,195,390.75/7,220.64
  6. Step 6: Final answer
    x = 5,566.74

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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.