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Finding the Fourth Proportional to 10,281.99, 14,194.49 and 7,132.71

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Solution

The fourth proportional to 10,281.99, 14,194.49 and 7,132.71 is: 9,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.99 : 14,194.49 = 7,132.71 : x
  2. Step 2: Convert to fraction form
    10,281.99/14,194.49 = 7,132.71/x
  3. Step 3: Cross multiply
    10,281.99x = 14,194.49 × 7,132.71
  4. Step 4: Simplify right side
    10,281.99x = 101,245,145.10
  5. Step 5: Solve for x
    x = 101,245,145.10/10,281.99
  6. Step 6: Final answer
    x = 9,846.84

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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.