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Finding the Fourth Proportional to 11,337.33, 15,640.07 and 9,762.69

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Solution

The fourth proportional to 11,337.33, 15,640.07 and 9,762.69 is: 13,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.33 : 15,640.07 = 9,762.69 : x
  2. Step 2: Convert to fraction form
    11,337.33/15,640.07 = 9,762.69/x
  3. Step 3: Cross multiply
    11,337.33x = 15,640.07 × 9,762.69
  4. Step 4: Simplify right side
    11,337.33x = 152,689,154.99
  5. Step 5: Solve for x
    x = 152,689,154.99/11,337.33
  6. Step 6: Final answer
    x = 13,467.82

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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.