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Finding the Fourth Proportional to 9,776.39, 13,491.45 and 5,797.76

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Solution

The fourth proportional to 9,776.39, 13,491.45 and 5,797.76 is: 8,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.39 : 13,491.45 = 5,797.76 : x
  2. Step 2: Convert to fraction form
    9,776.39/13,491.45 = 5,797.76/x
  3. Step 3: Cross multiply
    9,776.39x = 13,491.45 × 5,797.76
  4. Step 4: Simplify right side
    9,776.39x = 78,220,121.69
  5. Step 5: Solve for x
    x = 78,220,121.69/9,776.39
  6. Step 6: Final answer
    x = 8,000.92

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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.