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Finding the Fourth Proportional to 9,767.59, 14,651.39 and 2,371.93

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Solution

The fourth proportional to 9,767.59, 14,651.39 and 2,371.93 is: 3,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.59 : 14,651.39 = 2,371.93 : x
  2. Step 2: Convert to fraction form
    9,767.59/14,651.39 = 2,371.93/x
  3. Step 3: Cross multiply
    9,767.59x = 14,651.39 × 2,371.93
  4. Step 4: Simplify right side
    9,767.59x = 34,752,071.48
  5. Step 5: Solve for x
    x = 34,752,071.48/9,767.59
  6. Step 6: Final answer
    x = 3,557.90

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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.