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Finding the Fourth Proportional to 6,117.32, 9,157.73 and 6,012.83

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Solution

The fourth proportional to 6,117.32, 9,157.73 and 6,012.83 is: 9,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.32 : 9,157.73 = 6,012.83 : x
  2. Step 2: Convert to fraction form
    6,117.32/9,157.73 = 6,012.83/x
  3. Step 3: Cross multiply
    6,117.32x = 9,157.73 × 6,012.83
  4. Step 4: Simplify right side
    6,117.32x = 55,063,797.82
  5. Step 5: Solve for x
    x = 55,063,797.82/6,117.32
  6. Step 6: Final answer
    x = 9,001.30

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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.