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Finding the Fourth Proportional to 9,350.13, 14,027.63 and 7,687.00

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Solution

The fourth proportional to 9,350.13, 14,027.63 and 7,687.00 is: 11,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.13 : 14,027.63 = 7,687.00 : x
  2. Step 2: Convert to fraction form
    9,350.13/14,027.63 = 7,687.00/x
  3. Step 3: Cross multiply
    9,350.13x = 14,027.63 × 7,687.00
  4. Step 4: Simplify right side
    9,350.13x = 107,830,414.15
  5. Step 5: Solve for x
    x = 107,830,414.15/9,350.13
  6. Step 6: Final answer
    x = 11,532.50

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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.