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Finding the Fourth Proportional to 9,363.81, 14,035.17 and 4,676.76

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Solution

The fourth proportional to 9,363.81, 14,035.17 and 4,676.76 is: 7,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.81 : 14,035.17 = 4,676.76 : x
  2. Step 2: Convert to fraction form
    9,363.81/14,035.17 = 4,676.76/x
  3. Step 3: Cross multiply
    9,363.81x = 14,035.17 × 4,676.76
  4. Step 4: Simplify right side
    9,363.81x = 65,639,121.65
  5. Step 5: Solve for x
    x = 65,639,121.65/9,363.81
  6. Step 6: Final answer
    x = 7,009.87

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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.