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Finding the Fourth Proportional to 6,806.16, 9,392.76 and 4,154.76

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Solution

The fourth proportional to 6,806.16, 9,392.76 and 4,154.76 is: 5,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.16 : 9,392.76 = 4,154.76 : x
  2. Step 2: Convert to fraction form
    6,806.16/9,392.76 = 4,154.76/x
  3. Step 3: Cross multiply
    6,806.16x = 9,392.76 × 4,154.76
  4. Step 4: Simplify right side
    6,806.16x = 39,024,663.54
  5. Step 5: Solve for x
    x = 39,024,663.54/6,806.16
  6. Step 6: Final answer
    x = 5,733.73

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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.