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Finding the Fourth Proportional to 6,157.01, 9,232.28 and 4,209.77

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Solution

The fourth proportional to 6,157.01, 9,232.28 and 4,209.77 is: 6,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.01 : 9,232.28 = 4,209.77 : x
  2. Step 2: Convert to fraction form
    6,157.01/9,232.28 = 4,209.77/x
  3. Step 3: Cross multiply
    6,157.01x = 9,232.28 × 4,209.77
  4. Step 4: Simplify right side
    6,157.01x = 38,865,754.33
  5. Step 5: Solve for x
    x = 38,865,754.33/6,157.01
  6. Step 6: Final answer
    x = 6,312.44

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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.