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Finding the Fourth Proportional to 9,665.45, 13,338.06 and 6,301.89

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Solution

The fourth proportional to 9,665.45, 13,338.06 and 6,301.89 is: 8,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.45 : 13,338.06 = 6,301.89 : x
  2. Step 2: Convert to fraction form
    9,665.45/13,338.06 = 6,301.89/x
  3. Step 3: Cross multiply
    9,665.45x = 13,338.06 × 6,301.89
  4. Step 4: Simplify right side
    9,665.45x = 84,054,986.93
  5. Step 5: Solve for x
    x = 84,054,986.93/9,665.45
  6. Step 6: Final answer
    x = 8,696.44

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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.