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Finding the Fourth Proportional to 9,904.41, 13,665.85 and 6,718.14

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Solution

The fourth proportional to 9,904.41, 13,665.85 and 6,718.14 is: 9,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.41 : 13,665.85 = 6,718.14 : x
  2. Step 2: Convert to fraction form
    9,904.41/13,665.85 = 6,718.14/x
  3. Step 3: Cross multiply
    9,904.41x = 13,665.85 × 6,718.14
  4. Step 4: Simplify right side
    9,904.41x = 91,809,076.72
  5. Step 5: Solve for x
    x = 91,809,076.72/9,904.41
  6. Step 6: Final answer
    x = 9,269.51

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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.