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Finding the Fourth Proportional to 9,618.77, 13,274.13 and 6,033.88

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Solution

The fourth proportional to 9,618.77, 13,274.13 and 6,033.88 is: 8,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.77 : 13,274.13 = 6,033.88 : x
  2. Step 2: Convert to fraction form
    9,618.77/13,274.13 = 6,033.88/x
  3. Step 3: Cross multiply
    9,618.77x = 13,274.13 × 6,033.88
  4. Step 4: Simplify right side
    9,618.77x = 80,094,477.36
  5. Step 5: Solve for x
    x = 80,094,477.36/9,618.77
  6. Step 6: Final answer
    x = 8,326.89

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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.