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Finding the Fourth Proportional to 6,388.23, 9,581.54 and 4,747.17

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Solution

The fourth proportional to 6,388.23, 9,581.54 and 4,747.17 is: 7,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.23 : 9,581.54 = 4,747.17 : x
  2. Step 2: Convert to fraction form
    6,388.23/9,581.54 = 4,747.17/x
  3. Step 3: Cross multiply
    6,388.23x = 9,581.54 × 4,747.17
  4. Step 4: Simplify right side
    6,388.23x = 45,485,175.51
  5. Step 5: Solve for x
    x = 45,485,175.51/6,388.23
  6. Step 6: Final answer
    x = 7,120.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.