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Finding the Fourth Proportional to 6,616.31, 9,130.54 and 3,632.16

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Solution

The fourth proportional to 6,616.31, 9,130.54 and 3,632.16 is: 5,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.31 : 9,130.54 = 3,632.16 : x
  2. Step 2: Convert to fraction form
    6,616.31/9,130.54 = 3,632.16/x
  3. Step 3: Cross multiply
    6,616.31x = 9,130.54 × 3,632.16
  4. Step 4: Simplify right side
    6,616.31x = 33,163,614.14
  5. Step 5: Solve for x
    x = 33,163,614.14/6,616.31
  6. Step 6: Final answer
    x = 5,012.41

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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.