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Finding the Fourth Proportional to 6,175.16, 9,251.93 and 5,141.80

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Solution

The fourth proportional to 6,175.16, 9,251.93 and 5,141.80 is: 7,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.16 : 9,251.93 = 5,141.80 : x
  2. Step 2: Convert to fraction form
    6,175.16/9,251.93 = 5,141.80/x
  3. Step 3: Cross multiply
    6,175.16x = 9,251.93 × 5,141.80
  4. Step 4: Simplify right side
    6,175.16x = 47,571,573.67
  5. Step 5: Solve for x
    x = 47,571,573.67/6,175.16
  6. Step 6: Final answer
    x = 7,703.70

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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.