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Finding the Fourth Proportional to 9,612.56, 14,421.24 and 2,687

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Solution

The fourth proportional to 9,612.56, 14,421.24 and 2,687 is: 4,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.56 : 14,421.24 = 2,687 : x
  2. Step 2: Convert to fraction form
    9,612.56/14,421.24 = 2,687/x
  3. Step 3: Cross multiply
    9,612.56x = 14,421.24 × 2,687
  4. Step 4: Simplify right side
    9,612.56x = 38,749,871.88
  5. Step 5: Solve for x
    x = 38,749,871.88/9,612.56
  6. Step 6: Final answer
    x = 4,031.17

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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.