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Finding the Fourth Proportional to 9,813.84, 14,721.24 and 3,239.88

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Solution

The fourth proportional to 9,813.84, 14,721.24 and 3,239.88 is: 4,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.84 : 14,721.24 = 3,239.88 : x
  2. Step 2: Convert to fraction form
    9,813.84/14,721.24 = 3,239.88/x
  3. Step 3: Cross multiply
    9,813.84x = 14,721.24 × 3,239.88
  4. Step 4: Simplify right side
    9,813.84x = 47,695,051.05
  5. Step 5: Solve for x
    x = 47,695,051.05/9,813.84
  6. Step 6: Final answer
    x = 4,859.98

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Why These Related Problems?

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