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Finding the Fourth Proportional to 6,667.97, 9,991.40 and 3,547.13

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Solution

The fourth proportional to 6,667.97, 9,991.40 and 3,547.13 is: 5,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.97 : 9,991.40 = 3,547.13 : x
  2. Step 2: Convert to fraction form
    6,667.97/9,991.40 = 3,547.13/x
  3. Step 3: Cross multiply
    6,667.97x = 9,991.40 × 3,547.13
  4. Step 4: Simplify right side
    6,667.97x = 35,440,726.99
  5. Step 5: Solve for x
    x = 35,440,726.99/6,667.97
  6. Step 6: Final answer
    x = 5,315.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.