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Finding the Fourth Proportional to 6,434.51, 9,663.65 and 3,853.31

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Solution

The fourth proportional to 6,434.51, 9,663.65 and 3,853.31 is: 5,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.51 : 9,663.65 = 3,853.31 : x
  2. Step 2: Convert to fraction form
    6,434.51/9,663.65 = 3,853.31/x
  3. Step 3: Cross multiply
    6,434.51x = 9,663.65 × 3,853.31
  4. Step 4: Simplify right side
    6,434.51x = 37,237,039.18
  5. Step 5: Solve for x
    x = 37,237,039.18/6,434.51
  6. Step 6: Final answer
    x = 5,787.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.