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Finding the Fourth Proportional to 9,665.10, 14,501.70 and 7,221.14

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Solution

The fourth proportional to 9,665.10, 14,501.70 and 7,221.14 is: 10,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.10 : 14,501.70 = 7,221.14 : x
  2. Step 2: Convert to fraction form
    9,665.10/14,501.70 = 7,221.14/x
  3. Step 3: Cross multiply
    9,665.10x = 14,501.70 × 7,221.14
  4. Step 4: Simplify right side
    9,665.10x = 104,718,805.94
  5. Step 5: Solve for x
    x = 104,718,805.94/9,665.10
  6. Step 6: Final answer
    x = 10,834.74

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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.