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Finding the Fourth Proportional to 9,791.00, 14,686.51 and 3,549.60

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Solution

The fourth proportional to 9,791.00, 14,686.51 and 3,549.60 is: 5,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.00 : 14,686.51 = 3,549.60 : x
  2. Step 2: Convert to fraction form
    9,791.00/14,686.51 = 3,549.60/x
  3. Step 3: Cross multiply
    9,791.00x = 14,686.51 × 3,549.60
  4. Step 4: Simplify right side
    9,791.00x = 52,131,223.69
  5. Step 5: Solve for x
    x = 52,131,223.69/9,791.00
  6. Step 6: Final answer
    x = 5,324.40

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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.