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Finding the Fourth Proportional to 7,207.24, 9,946.00 and 4,063.42

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Solution

The fourth proportional to 7,207.24, 9,946.00 and 4,063.42 is: 5,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.24 : 9,946.00 = 4,063.42 : x
  2. Step 2: Convert to fraction form
    7,207.24/9,946.00 = 4,063.42/x
  3. Step 3: Cross multiply
    7,207.24x = 9,946.00 × 4,063.42
  4. Step 4: Simplify right side
    7,207.24x = 40,414,715.43
  5. Step 5: Solve for x
    x = 40,414,715.43/7,207.24
  6. Step 6: Final answer
    x = 5,607.52

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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.