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Finding the Fourth Proportional to 6,546.96, 9,827.34 and 4,083.48

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Solution

The fourth proportional to 6,546.96, 9,827.34 and 4,083.48 is: 6,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.96 : 9,827.34 = 4,083.48 : x
  2. Step 2: Convert to fraction form
    6,546.96/9,827.34 = 4,083.48/x
  3. Step 3: Cross multiply
    6,546.96x = 9,827.34 × 4,083.48
  4. Step 4: Simplify right side
    6,546.96x = 40,129,746.34
  5. Step 5: Solve for x
    x = 40,129,746.34/6,546.96
  6. Step 6: Final answer
    x = 6,129.52

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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.