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Finding the Fourth Proportional to 9,873.84, 14,810.82 and 4,031.04

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Solution

The fourth proportional to 9,873.84, 14,810.82 and 4,031.04 is: 6,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.84 : 14,810.82 = 4,031.04 : x
  2. Step 2: Convert to fraction form
    9,873.84/14,810.82 = 4,031.04/x
  3. Step 3: Cross multiply
    9,873.84x = 14,810.82 × 4,031.04
  4. Step 4: Simplify right side
    9,873.84x = 59,703,007.85
  5. Step 5: Solve for x
    x = 59,703,007.85/9,873.84
  6. Step 6: Final answer
    x = 6,046.58

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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.