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Finding the Fourth Proportional to 9,790.92, 14,686.38 and 3,551.76

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Solution

The fourth proportional to 9,790.92, 14,686.38 and 3,551.76 is: 5,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.92 : 14,686.38 = 3,551.76 : x
  2. Step 2: Convert to fraction form
    9,790.92/14,686.38 = 3,551.76/x
  3. Step 3: Cross multiply
    9,790.92x = 14,686.38 × 3,551.76
  4. Step 4: Simplify right side
    9,790.92x = 52,162,497.03
  5. Step 5: Solve for x
    x = 52,162,497.03/9,790.92
  6. Step 6: Final answer
    x = 5,327.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.