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Finding the Fourth Proportional to 7,002.96, 9,673.23 and 5,231.46

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Solution

The fourth proportional to 7,002.96, 9,673.23 and 5,231.46 is: 7,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.96 : 9,673.23 = 5,231.46 : x
  2. Step 2: Convert to fraction form
    7,002.96/9,673.23 = 5,231.46/x
  3. Step 3: Cross multiply
    7,002.96x = 9,673.23 × 5,231.46
  4. Step 4: Simplify right side
    7,002.96x = 50,605,115.82
  5. Step 5: Solve for x
    x = 50,605,115.82/7,002.96
  6. Step 6: Final answer
    x = 7,226.25

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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.