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Finding the Fourth Proportional to 9,704.93, 14,557.68 and 2,685.00

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Solution

The fourth proportional to 9,704.93, 14,557.68 and 2,685.00 is: 4,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.93 : 14,557.68 = 2,685.00 : x
  2. Step 2: Convert to fraction form
    9,704.93/14,557.68 = 2,685.00/x
  3. Step 3: Cross multiply
    9,704.93x = 14,557.68 × 2,685.00
  4. Step 4: Simplify right side
    9,704.93x = 39,087,320.98
  5. Step 5: Solve for x
    x = 39,087,320.98/9,704.93
  6. Step 6: Final answer
    x = 4,027.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.