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Finding the Fourth Proportional to 6,819.66, 9,407.80 and 4,162.46

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Solution

The fourth proportional to 6,819.66, 9,407.80 and 4,162.46 is: 5,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.66 : 9,407.80 = 4,162.46 : x
  2. Step 2: Convert to fraction form
    6,819.66/9,407.80 = 4,162.46/x
  3. Step 3: Cross multiply
    6,819.66x = 9,407.80 × 4,162.46
  4. Step 4: Simplify right side
    6,819.66x = 39,159,525.94
  5. Step 5: Solve for x
    x = 39,159,525.94/6,819.66
  6. Step 6: Final answer
    x = 5,742.15

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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.