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Finding the Fourth Proportional to 6,617.61, 9,133.56 and 4,102.16

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Solution

The fourth proportional to 6,617.61, 9,133.56 and 4,102.16 is: 5,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.61 : 9,133.56 = 4,102.16 : x
  2. Step 2: Convert to fraction form
    6,617.61/9,133.56 = 4,102.16/x
  3. Step 3: Cross multiply
    6,617.61x = 9,133.56 × 4,102.16
  4. Step 4: Simplify right side
    6,617.61x = 37,467,278.82
  5. Step 5: Solve for x
    x = 37,467,278.82/6,617.61
  6. Step 6: Final answer
    x = 5,661.75

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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.