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Finding the Fourth Proportional to 6,681.40, 9,211.26 and 5,631.64

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Solution

The fourth proportional to 6,681.40, 9,211.26 and 5,631.64 is: 7,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.40 : 9,211.26 = 5,631.64 : x
  2. Step 2: Convert to fraction form
    6,681.40/9,211.26 = 5,631.64/x
  3. Step 3: Cross multiply
    6,681.40x = 9,211.26 × 5,631.64
  4. Step 4: Simplify right side
    6,681.40x = 51,874,500.27
  5. Step 5: Solve for x
    x = 51,874,500.27/6,681.40
  6. Step 6: Final answer
    x = 7,764.02

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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.