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Finding the Fourth Proportional to 7,224.17, 9,965.05 and 4,566.96

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Solution

The fourth proportional to 7,224.17, 9,965.05 and 4,566.96 is: 6,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.17 : 9,965.05 = 4,566.96 : x
  2. Step 2: Convert to fraction form
    7,224.17/9,965.05 = 4,566.96/x
  3. Step 3: Cross multiply
    7,224.17x = 9,965.05 × 4,566.96
  4. Step 4: Simplify right side
    7,224.17x = 45,509,973.33
  5. Step 5: Solve for x
    x = 45,509,973.33/7,224.17
  6. Step 6: Final answer
    x = 6,299.69

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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.