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Finding the Fourth Proportional to 9,711.97, 14,536.62 and 5,025.52

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Solution

The fourth proportional to 9,711.97, 14,536.62 and 5,025.52 is: 7,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.97 : 14,536.62 = 5,025.52 : x
  2. Step 2: Convert to fraction form
    9,711.97/14,536.62 = 5,025.52/x
  3. Step 3: Cross multiply
    9,711.97x = 14,536.62 × 5,025.52
  4. Step 4: Simplify right side
    9,711.97x = 73,054,074.54
  5. Step 5: Solve for x
    x = 73,054,074.54/9,711.97
  6. Step 6: Final answer
    x = 7,522.07

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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.