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Finding the Fourth Proportional to 9,759.57, 14,638.83 and 2,740.07

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Solution

The fourth proportional to 9,759.57, 14,638.83 and 2,740.07 is: 4,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.57 : 14,638.83 = 2,740.07 : x
  2. Step 2: Convert to fraction form
    9,759.57/14,638.83 = 2,740.07/x
  3. Step 3: Cross multiply
    9,759.57x = 14,638.83 × 2,740.07
  4. Step 4: Simplify right side
    9,759.57x = 40,111,345.72
  5. Step 5: Solve for x
    x = 40,111,345.72/9,759.57
  6. Step 6: Final answer
    x = 4,109.95

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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.