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Finding the Fourth Proportional to 6,710.79, 9,261.20 and 3,726.64

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Solution

The fourth proportional to 6,710.79, 9,261.20 and 3,726.64 is: 5,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.79 : 9,261.20 = 3,726.64 : x
  2. Step 2: Convert to fraction form
    6,710.79/9,261.20 = 3,726.64/x
  3. Step 3: Cross multiply
    6,710.79x = 9,261.20 × 3,726.64
  4. Step 4: Simplify right side
    6,710.79x = 34,513,118.98
  5. Step 5: Solve for x
    x = 34,513,118.98/6,710.79
  6. Step 6: Final answer
    x = 5,142.93

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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.