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Finding the Fourth Proportional to 6,813.97, 9,441.14 and 6,666.35

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Solution

The fourth proportional to 6,813.97, 9,441.14 and 6,666.35 is: 9,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.97 : 9,441.14 = 6,666.35 : x
  2. Step 2: Convert to fraction form
    6,813.97/9,441.14 = 6,666.35/x
  3. Step 3: Cross multiply
    6,813.97x = 9,441.14 × 6,666.35
  4. Step 4: Simplify right side
    6,813.97x = 62,937,863.10
  5. Step 5: Solve for x
    x = 62,937,863.10/6,813.97
  6. Step 6: Final answer
    x = 9,236.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.