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Finding the Fourth Proportional to 9,826.76, 14,739.96 and 2,711

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Solution

The fourth proportional to 9,826.76, 14,739.96 and 2,711 is: 4,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.76 : 14,739.96 = 2,711 : x
  2. Step 2: Convert to fraction form
    9,826.76/14,739.96 = 2,711/x
  3. Step 3: Cross multiply
    9,826.76x = 14,739.96 × 2,711
  4. Step 4: Simplify right side
    9,826.76x = 39,960,031.56
  5. Step 5: Solve for x
    x = 39,960,031.56/9,826.76
  6. Step 6: Final answer
    x = 4,066.45

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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.