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Finding the Fourth Proportional to 6,996.07, 9,653.34 and 5,667.49

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Solution

The fourth proportional to 6,996.07, 9,653.34 and 5,667.49 is: 7,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.07 : 9,653.34 = 5,667.49 : x
  2. Step 2: Convert to fraction form
    6,996.07/9,653.34 = 5,667.49/x
  3. Step 3: Cross multiply
    6,996.07x = 9,653.34 × 5,667.49
  4. Step 4: Simplify right side
    6,996.07x = 54,710,207.92
  5. Step 5: Solve for x
    x = 54,710,207.92/6,996.07
  6. Step 6: Final answer
    x = 7,820.13

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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.