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Finding the Fourth Proportional to 6,557.68, 9,049.48 and 3,762.96

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Solution

The fourth proportional to 6,557.68, 9,049.48 and 3,762.96 is: 5,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.68 : 9,049.48 = 3,762.96 : x
  2. Step 2: Convert to fraction form
    6,557.68/9,049.48 = 3,762.96/x
  3. Step 3: Cross multiply
    6,557.68x = 9,049.48 × 3,762.96
  4. Step 4: Simplify right side
    6,557.68x = 34,052,831.26
  5. Step 5: Solve for x
    x = 34,052,831.26/6,557.68
  6. Step 6: Final answer
    x = 5,192.82

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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.