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Finding the Fourth Proportional to 9,688.57, 14,532.87 and 2,763.07

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Solution

The fourth proportional to 9,688.57, 14,532.87 and 2,763.07 is: 4,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.57 : 14,532.87 = 2,763.07 : x
  2. Step 2: Convert to fraction form
    9,688.57/14,532.87 = 2,763.07/x
  3. Step 3: Cross multiply
    9,688.57x = 14,532.87 × 2,763.07
  4. Step 4: Simplify right side
    9,688.57x = 40,155,337.11
  5. Step 5: Solve for x
    x = 40,155,337.11/9,688.57
  6. Step 6: Final answer
    x = 4,144.61

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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.