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Finding the Fourth Proportional to 7,175.77, 9,902.21 and 3,989.28

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Solution

The fourth proportional to 7,175.77, 9,902.21 and 3,989.28 is: 5,505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.77 : 9,902.21 = 3,989.28 : x
  2. Step 2: Convert to fraction form
    7,175.77/9,902.21 = 3,989.28/x
  3. Step 3: Cross multiply
    7,175.77x = 9,902.21 × 3,989.28
  4. Step 4: Simplify right side
    7,175.77x = 39,502,688.31
  5. Step 5: Solve for x
    x = 39,502,688.31/7,175.77
  6. Step 6: Final answer
    x = 5,505.01

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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.