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Finding the Fourth Proportional to 10,133.97, 13,991.28 and 6,952.59

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Solution

The fourth proportional to 10,133.97, 13,991.28 and 6,952.59 is: 9,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.97 : 13,991.28 = 6,952.59 : x
  2. Step 2: Convert to fraction form
    10,133.97/13,991.28 = 6,952.59/x
  3. Step 3: Cross multiply
    10,133.97x = 13,991.28 × 6,952.59
  4. Step 4: Simplify right side
    10,133.97x = 97,275,633.42
  5. Step 5: Solve for x
    x = 97,275,633.42/10,133.97
  6. Step 6: Final answer
    x = 9,598.97

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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.