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Finding the Fourth Proportional to 6,546.60, 9,821.34 and 1,929.48

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Solution

The fourth proportional to 6,546.60, 9,821.34 and 1,929.48 is: 2,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.60 : 9,821.34 = 1,929.48 : x
  2. Step 2: Convert to fraction form
    6,546.60/9,821.34 = 1,929.48/x
  3. Step 3: Cross multiply
    6,546.60x = 9,821.34 × 1,929.48
  4. Step 4: Simplify right side
    6,546.60x = 18,950,079.10
  5. Step 5: Solve for x
    x = 18,950,079.10/6,546.60
  6. Step 6: Final answer
    x = 2,894.64

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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.