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Finding the Fourth Proportional to 9,686.65, 13,351.60 and 6,850.36

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Solution

The fourth proportional to 9,686.65, 13,351.60 and 6,850.36 is: 9,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.65 : 13,351.60 = 6,850.36 : x
  2. Step 2: Convert to fraction form
    9,686.65/13,351.60 = 6,850.36/x
  3. Step 3: Cross multiply
    9,686.65x = 13,351.60 × 6,850.36
  4. Step 4: Simplify right side
    9,686.65x = 91,463,266.58
  5. Step 5: Solve for x
    x = 91,463,266.58/9,686.65
  6. Step 6: Final answer
    x = 9,442.20

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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.