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Finding the Fourth Proportional to 6,884.10, 9,502.31 and 4,051.33

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Solution

The fourth proportional to 6,884.10, 9,502.31 and 4,051.33 is: 5,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.10 : 9,502.31 = 4,051.33 : x
  2. Step 2: Convert to fraction form
    6,884.10/9,502.31 = 4,051.33/x
  3. Step 3: Cross multiply
    6,884.10x = 9,502.31 × 4,051.33
  4. Step 4: Simplify right side
    6,884.10x = 38,496,979.94
  5. Step 5: Solve for x
    x = 38,496,979.94/6,884.10
  6. Step 6: Final answer
    x = 5,592.16

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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.