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Finding the Fourth Proportional to 9,740.87, 13,442.20 and 5,491.94

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Solution

The fourth proportional to 9,740.87, 13,442.20 and 5,491.94 is: 7,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.87 : 13,442.20 = 5,491.94 : x
  2. Step 2: Convert to fraction form
    9,740.87/13,442.20 = 5,491.94/x
  3. Step 3: Cross multiply
    9,740.87x = 13,442.20 × 5,491.94
  4. Step 4: Simplify right side
    9,740.87x = 73,823,674.93
  5. Step 5: Solve for x
    x = 73,823,674.93/9,740.87
  6. Step 6: Final answer
    x = 7,578.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.