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Finding the Fourth Proportional to 6,710.77, 9,260.83 and 3,685.95

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Solution

The fourth proportional to 6,710.77, 9,260.83 and 3,685.95 is: 5,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.77 : 9,260.83 = 3,685.95 : x
  2. Step 2: Convert to fraction form
    6,710.77/9,260.83 = 3,685.95/x
  3. Step 3: Cross multiply
    6,710.77x = 9,260.83 × 3,685.95
  4. Step 4: Simplify right side
    6,710.77x = 34,134,970.28
  5. Step 5: Solve for x
    x = 34,134,970.28/6,710.77
  6. Step 6: Final answer
    x = 5,086.60

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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.