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Finding the Fourth Proportional to 6,562.16, 9,055.81 and 3,578.16

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Solution

The fourth proportional to 6,562.16, 9,055.81 and 3,578.16 is: 4,937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.16 : 9,055.81 = 3,578.16 : x
  2. Step 2: Convert to fraction form
    6,562.16/9,055.81 = 3,578.16/x
  3. Step 3: Cross multiply
    6,562.16x = 9,055.81 × 3,578.16
  4. Step 4: Simplify right side
    6,562.16x = 32,403,175.54
  5. Step 5: Solve for x
    x = 32,403,175.54/6,562.16
  6. Step 6: Final answer
    x = 4,937.88

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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.