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Finding the Fourth Proportional to 9,801.16, 14,700.58 and 2,781.79

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Solution

The fourth proportional to 9,801.16, 14,700.58 and 2,781.79 is: 4,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.16 : 14,700.58 = 2,781.79 : x
  2. Step 2: Convert to fraction form
    9,801.16/14,700.58 = 2,781.79/x
  3. Step 3: Cross multiply
    9,801.16x = 14,700.58 × 2,781.79
  4. Step 4: Simplify right side
    9,801.16x = 40,893,926.44
  5. Step 5: Solve for x
    x = 40,893,926.44/9,801.16
  6. Step 6: Final answer
    x = 4,172.36

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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.