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Finding the Fourth Proportional to 9,686.79, 14,537.41 and 3,764.61

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Solution

The fourth proportional to 9,686.79, 14,537.41 and 3,764.61 is: 5,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.79 : 14,537.41 = 3,764.61 : x
  2. Step 2: Convert to fraction form
    9,686.79/14,537.41 = 3,764.61/x
  3. Step 3: Cross multiply
    9,686.79x = 14,537.41 × 3,764.61
  4. Step 4: Simplify right side
    9,686.79x = 54,727,669.65
  5. Step 5: Solve for x
    x = 54,727,669.65/9,686.79
  6. Step 6: Final answer
    x = 5,649.72

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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.