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Finding the Fourth Proportional to 6,838.01, 9,437.16 and 4,187.18

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Solution

The fourth proportional to 6,838.01, 9,437.16 and 4,187.18 is: 5,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.01 : 9,437.16 = 4,187.18 : x
  2. Step 2: Convert to fraction form
    6,838.01/9,437.16 = 4,187.18/x
  3. Step 3: Cross multiply
    6,838.01x = 9,437.16 × 4,187.18
  4. Step 4: Simplify right side
    6,838.01x = 39,515,040.42
  5. Step 5: Solve for x
    x = 39,515,040.42/6,838.01
  6. Step 6: Final answer
    x = 5,778.74

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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.