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Finding the Fourth Proportional to 9,677.87, 13,354.64 and 6,538.31

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Solution

The fourth proportional to 9,677.87, 13,354.64 and 6,538.31 is: 9,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.87 : 13,354.64 = 6,538.31 : x
  2. Step 2: Convert to fraction form
    9,677.87/13,354.64 = 6,538.31/x
  3. Step 3: Cross multiply
    9,677.87x = 13,354.64 × 6,538.31
  4. Step 4: Simplify right side
    9,677.87x = 87,316,743.57
  5. Step 5: Solve for x
    x = 87,316,743.57/9,677.87
  6. Step 6: Final answer
    x = 9,022.31

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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.