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Finding the Fourth Proportional to 6,538.01, 9,016.25 and 5,043.56

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Solution

The fourth proportional to 6,538.01, 9,016.25 and 5,043.56 is: 6,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.01 : 9,016.25 = 5,043.56 : x
  2. Step 2: Convert to fraction form
    6,538.01/9,016.25 = 5,043.56/x
  3. Step 3: Cross multiply
    6,538.01x = 9,016.25 × 5,043.56
  4. Step 4: Simplify right side
    6,538.01x = 45,473,927.55
  5. Step 5: Solve for x
    x = 45,473,927.55/6,538.01
  6. Step 6: Final answer
    x = 6,955.32

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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.