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Finding the Fourth Proportional to 6,838.70, 9,437.22 and 4,186.10

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Solution

The fourth proportional to 6,838.70, 9,437.22 and 4,186.10 is: 5,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.70 : 9,437.22 = 4,186.10 : x
  2. Step 2: Convert to fraction form
    6,838.70/9,437.22 = 4,186.10/x
  3. Step 3: Cross multiply
    6,838.70x = 9,437.22 × 4,186.10
  4. Step 4: Simplify right side
    6,838.70x = 39,505,146.64
  5. Step 5: Solve for x
    x = 39,505,146.64/6,838.70
  6. Step 6: Final answer
    x = 5,776.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.