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Finding the Fourth Proportional to 9,133.00, 13,699.73 and 2,559.70

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Solution

The fourth proportional to 9,133.00, 13,699.73 and 2,559.70 is: 3,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.00 : 13,699.73 = 2,559.70 : x
  2. Step 2: Convert to fraction form
    9,133.00/13,699.73 = 2,559.70/x
  3. Step 3: Cross multiply
    9,133.00x = 13,699.73 × 2,559.70
  4. Step 4: Simplify right side
    9,133.00x = 35,067,151.83
  5. Step 5: Solve for x
    x = 35,067,151.83/9,133.00
  6. Step 6: Final answer
    x = 3,839.61

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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.