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Finding the Fourth Proportional to 6,456.93, 9,682.51 and 1,838.85

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Solution

The fourth proportional to 6,456.93, 9,682.51 and 1,838.85 is: 2,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.93 : 9,682.51 = 1,838.85 : x
  2. Step 2: Convert to fraction form
    6,456.93/9,682.51 = 1,838.85/x
  3. Step 3: Cross multiply
    6,456.93x = 9,682.51 × 1,838.85
  4. Step 4: Simplify right side
    6,456.93x = 17,804,683.51
  5. Step 5: Solve for x
    x = 17,804,683.51/6,456.93
  6. Step 6: Final answer
    x = 2,757.45

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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.