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Finding the Fourth Proportional to 10,288.65, 14,221.67 and 9,472.17

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Solution

The fourth proportional to 10,288.65, 14,221.67 and 9,472.17 is: 13,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.65 : 14,221.67 = 9,472.17 : x
  2. Step 2: Convert to fraction form
    10,288.65/14,221.67 = 9,472.17/x
  3. Step 3: Cross multiply
    10,288.65x = 14,221.67 × 9,472.17
  4. Step 4: Simplify right side
    10,288.65x = 134,710,028.56
  5. Step 5: Solve for x
    x = 134,710,028.56/10,288.65
  6. Step 6: Final answer
    x = 13,093.07

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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.