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Finding the Fourth Proportional to 6,758.92, 9,324.74 and 4,994.76

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Solution

The fourth proportional to 6,758.92, 9,324.74 and 4,994.76 is: 6,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.92 : 9,324.74 = 4,994.76 : x
  2. Step 2: Convert to fraction form
    6,758.92/9,324.74 = 4,994.76/x
  3. Step 3: Cross multiply
    6,758.92x = 9,324.74 × 4,994.76
  4. Step 4: Simplify right side
    6,758.92x = 46,574,838.36
  5. Step 5: Solve for x
    x = 46,574,838.36/6,758.92
  6. Step 6: Final answer
    x = 6,890.87

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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.