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Finding the Fourth Proportional to 6,157.71, 9,237.47 and 2,261.81

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Solution

The fourth proportional to 6,157.71, 9,237.47 and 2,261.81 is: 3,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.71 : 9,237.47 = 2,261.81 : x
  2. Step 2: Convert to fraction form
    6,157.71/9,237.47 = 2,261.81/x
  3. Step 3: Cross multiply
    6,157.71x = 9,237.47 × 2,261.81
  4. Step 4: Simplify right side
    6,157.71x = 20,893,378.93
  5. Step 5: Solve for x
    x = 20,893,378.93/6,157.71
  6. Step 6: Final answer
    x = 3,393.05

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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.