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Finding the Fourth Proportional to 6,142.37, 9,197.66 and 5,152.79

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Solution

The fourth proportional to 6,142.37, 9,197.66 and 5,152.79 is: 7,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.37 : 9,197.66 = 5,152.79 : x
  2. Step 2: Convert to fraction form
    6,142.37/9,197.66 = 5,152.79/x
  3. Step 3: Cross multiply
    6,142.37x = 9,197.66 × 5,152.79
  4. Step 4: Simplify right side
    6,142.37x = 47,393,646.35
  5. Step 5: Solve for x
    x = 47,393,646.35/6,142.37
  6. Step 6: Final answer
    x = 7,715.85

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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.