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Finding the Fourth Proportional to 9,920.42, 14,881.50 and 3,680.49

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Solution

The fourth proportional to 9,920.42, 14,881.50 and 3,680.49 is: 5,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.42 : 14,881.50 = 3,680.49 : x
  2. Step 2: Convert to fraction form
    9,920.42/14,881.50 = 3,680.49/x
  3. Step 3: Cross multiply
    9,920.42x = 14,881.50 × 3,680.49
  4. Step 4: Simplify right side
    9,920.42x = 54,771,253.94
  5. Step 5: Solve for x
    x = 54,771,253.94/9,920.42
  6. Step 6: Final answer
    x = 5,521.06

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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.