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Finding the Fourth Proportional to 6,845.76, 9,448.74 and 5,724.78

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Solution

The fourth proportional to 6,845.76, 9,448.74 and 5,724.78 is: 7,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.76 : 9,448.74 = 5,724.78 : x
  2. Step 2: Convert to fraction form
    6,845.76/9,448.74 = 5,724.78/x
  3. Step 3: Cross multiply
    6,845.76x = 9,448.74 × 5,724.78
  4. Step 4: Simplify right side
    6,845.76x = 54,091,957.78
  5. Step 5: Solve for x
    x = 54,091,957.78/6,845.76
  6. Step 6: Final answer
    x = 7,901.53

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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.