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Finding the Fourth Proportional to 9,538.74, 13,157.73 and 6,892.02

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Solution

The fourth proportional to 9,538.74, 13,157.73 and 6,892.02 is: 9,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.74 : 13,157.73 = 6,892.02 : x
  2. Step 2: Convert to fraction form
    9,538.74/13,157.73 = 6,892.02/x
  3. Step 3: Cross multiply
    9,538.74x = 13,157.73 × 6,892.02
  4. Step 4: Simplify right side
    9,538.74x = 90,683,338.31
  5. Step 5: Solve for x
    x = 90,683,338.31/9,538.74
  6. Step 6: Final answer
    x = 9,506.85

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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.