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Finding the Fourth Proportional to 6,617.61, 9,129.69 and 4,261.12

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Solution

The fourth proportional to 6,617.61, 9,129.69 and 4,261.12 is: 5,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.61 : 9,129.69 = 4,261.12 : x
  2. Step 2: Convert to fraction form
    6,617.61/9,129.69 = 4,261.12/x
  3. Step 3: Cross multiply
    6,617.61x = 9,129.69 × 4,261.12
  4. Step 4: Simplify right side
    6,617.61x = 38,902,681.83
  5. Step 5: Solve for x
    x = 38,902,681.83/6,617.61
  6. Step 6: Final answer
    x = 5,878.66

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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.