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Finding the Fourth Proportional to 9,659.76, 14,491.71 and 5,501.76

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Solution

The fourth proportional to 9,659.76, 14,491.71 and 5,501.76 is: 8,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.76 : 14,491.71 = 5,501.76 : x
  2. Step 2: Convert to fraction form
    9,659.76/14,491.71 = 5,501.76/x
  3. Step 3: Cross multiply
    9,659.76x = 14,491.71 × 5,501.76
  4. Step 4: Simplify right side
    9,659.76x = 79,729,910.41
  5. Step 5: Solve for x
    x = 79,729,910.41/9,659.76
  6. Step 6: Final answer
    x = 8,253.82

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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.