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Finding the Fourth Proportional to 6,996.34, 9,646.95 and 5,224.96

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Solution

The fourth proportional to 6,996.34, 9,646.95 and 5,224.96 is: 7,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.34 : 9,646.95 = 5,224.96 : x
  2. Step 2: Convert to fraction form
    6,996.34/9,646.95 = 5,224.96/x
  3. Step 3: Cross multiply
    6,996.34x = 9,646.95 × 5,224.96
  4. Step 4: Simplify right side
    6,996.34x = 50,404,927.87
  5. Step 5: Solve for x
    x = 50,404,927.87/6,996.34
  6. Step 6: Final answer
    x = 7,204.47

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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.