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Finding the Fourth Proportional to 6,561.77, 9,054.42 and 3,729.12

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Solution

The fourth proportional to 6,561.77, 9,054.42 and 3,729.12 is: 5,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.77 : 9,054.42 = 3,729.12 : x
  2. Step 2: Convert to fraction form
    6,561.77/9,054.42 = 3,729.12/x
  3. Step 3: Cross multiply
    6,561.77x = 9,054.42 × 3,729.12
  4. Step 4: Simplify right side
    6,561.77x = 33,765,018.71
  5. Step 5: Solve for x
    x = 33,765,018.71/6,561.77
  6. Step 6: Final answer
    x = 5,145.72

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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.