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Finding the Fourth Proportional to 6,157.07, 9,239.65 and 2,261.51

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Solution

The fourth proportional to 6,157.07, 9,239.65 and 2,261.51 is: 3,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.07 : 9,239.65 = 2,261.51 : x
  2. Step 2: Convert to fraction form
    6,157.07/9,239.65 = 2,261.51/x
  3. Step 3: Cross multiply
    6,157.07x = 9,239.65 × 2,261.51
  4. Step 4: Simplify right side
    6,157.07x = 20,895,509.02
  5. Step 5: Solve for x
    x = 20,895,509.02/6,157.07
  6. Step 6: Final answer
    x = 3,393.75

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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.