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Finding the Fourth Proportional to 6,819.60, 9,411.04 and 3,835.40

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Solution

The fourth proportional to 6,819.60, 9,411.04 and 3,835.40 is: 5,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.60 : 9,411.04 = 3,835.40 : x
  2. Step 2: Convert to fraction form
    6,819.60/9,411.04 = 3,835.40/x
  3. Step 3: Cross multiply
    6,819.60x = 9,411.04 × 3,835.40
  4. Step 4: Simplify right side
    6,819.60x = 36,095,102.82
  5. Step 5: Solve for x
    x = 36,095,102.82/6,819.60
  6. Step 6: Final answer
    x = 5,292.85

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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.