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Finding the Fourth Proportional to 6,819.84, 9,409.10 and 5,558.72

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Solution

The fourth proportional to 6,819.84, 9,409.10 and 5,558.72 is: 7,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.84 : 9,409.10 = 5,558.72 : x
  2. Step 2: Convert to fraction form
    6,819.84/9,409.10 = 5,558.72/x
  3. Step 3: Cross multiply
    6,819.84x = 9,409.10 × 5,558.72
  4. Step 4: Simplify right side
    6,819.84x = 52,302,552.35
  5. Step 5: Solve for x
    x = 52,302,552.35/6,819.84
  6. Step 6: Final answer
    x = 7,669.18

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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.