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Finding the Fourth Proportional to 6,772.77, 9,345.57 and 4,084.13

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Solution

The fourth proportional to 6,772.77, 9,345.57 and 4,084.13 is: 5,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.77 : 9,345.57 = 4,084.13 : x
  2. Step 2: Convert to fraction form
    6,772.77/9,345.57 = 4,084.13/x
  3. Step 3: Cross multiply
    6,772.77x = 9,345.57 × 4,084.13
  4. Step 4: Simplify right side
    6,772.77x = 38,168,476.08
  5. Step 5: Solve for x
    x = 38,168,476.08/6,772.77
  6. Step 6: Final answer
    x = 5,635.58

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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.