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Finding the Fourth Proportional to 9,758.43, 14,636.16 and 2,737.71

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Solution

The fourth proportional to 9,758.43, 14,636.16 and 2,737.71 is: 4,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.43 : 14,636.16 = 2,737.71 : x
  2. Step 2: Convert to fraction form
    9,758.43/14,636.16 = 2,737.71/x
  3. Step 3: Cross multiply
    9,758.43x = 14,636.16 × 2,737.71
  4. Step 4: Simplify right side
    9,758.43x = 40,069,561.59
  5. Step 5: Solve for x
    x = 40,069,561.59/9,758.43
  6. Step 6: Final answer
    x = 4,106.15

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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.