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Finding the Fourth Proportional to 9,785.30, 14,674.98 and 2,764.76

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Solution

The fourth proportional to 9,785.30, 14,674.98 and 2,764.76 is: 4,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.30 : 14,674.98 = 2,764.76 : x
  2. Step 2: Convert to fraction form
    9,785.30/14,674.98 = 2,764.76/x
  3. Step 3: Cross multiply
    9,785.30x = 14,674.98 × 2,764.76
  4. Step 4: Simplify right side
    9,785.30x = 40,572,797.70
  5. Step 5: Solve for x
    x = 40,572,797.70/9,785.30
  6. Step 6: Final answer
    x = 4,146.30

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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.