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Finding the Fourth Proportional to 6,857.28, 9,437.76 and 5,846.40

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Solution

The fourth proportional to 6,857.28, 9,437.76 and 5,846.40 is: 8,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.28 : 9,437.76 = 5,846.40 : x
  2. Step 2: Convert to fraction form
    6,857.28/9,437.76 = 5,846.40/x
  3. Step 3: Cross multiply
    6,857.28x = 9,437.76 × 5,846.40
  4. Step 4: Simplify right side
    6,857.28x = 55,176,920.06
  5. Step 5: Solve for x
    x = 55,176,920.06/6,857.28
  6. Step 6: Final answer
    x = 8,046.47

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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.