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Finding the Fourth Proportional to 6,160.44, 9,192.58 and 5,497.77

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Solution

The fourth proportional to 6,160.44, 9,192.58 and 5,497.77 is: 8,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.44 : 9,192.58 = 5,497.77 : x
  2. Step 2: Convert to fraction form
    6,160.44/9,192.58 = 5,497.77/x
  3. Step 3: Cross multiply
    6,160.44x = 9,192.58 × 5,497.77
  4. Step 4: Simplify right side
    6,160.44x = 50,538,690.55
  5. Step 5: Solve for x
    x = 50,538,690.55/6,160.44
  6. Step 6: Final answer
    x = 8,203.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.