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Finding the Fourth Proportional to 6,864.81, 9,458.34 and 4,847.31

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Solution

The fourth proportional to 6,864.81, 9,458.34 and 4,847.31 is: 6,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.81 : 9,458.34 = 4,847.31 : x
  2. Step 2: Convert to fraction form
    6,864.81/9,458.34 = 4,847.31/x
  3. Step 3: Cross multiply
    6,864.81x = 9,458.34 × 4,847.31
  4. Step 4: Simplify right side
    6,864.81x = 45,847,506.07
  5. Step 5: Solve for x
    x = 45,847,506.07/6,864.81
  6. Step 6: Final answer
    x = 6,678.63

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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.