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Finding the Fourth Proportional to 9,810.67, 14,714.48 and 2,791.01

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Solution

The fourth proportional to 9,810.67, 14,714.48 and 2,791.01 is: 4,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.67 : 14,714.48 = 2,791.01 : x
  2. Step 2: Convert to fraction form
    9,810.67/14,714.48 = 2,791.01/x
  3. Step 3: Cross multiply
    9,810.67x = 14,714.48 × 2,791.01
  4. Step 4: Simplify right side
    9,810.67x = 41,068,260.82
  5. Step 5: Solve for x
    x = 41,068,260.82/9,810.67
  6. Step 6: Final answer
    x = 4,186.08

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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.