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Finding the Fourth Proportional to 9,659.72, 14,496.08 and 3,419.71

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Solution

The fourth proportional to 9,659.72, 14,496.08 and 3,419.71 is: 5,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.72 : 14,496.08 = 3,419.71 : x
  2. Step 2: Convert to fraction form
    9,659.72/14,496.08 = 3,419.71/x
  3. Step 3: Cross multiply
    9,659.72x = 14,496.08 × 3,419.71
  4. Step 4: Simplify right side
    9,659.72x = 49,572,389.74
  5. Step 5: Solve for x
    x = 49,572,389.74/9,659.72
  6. Step 6: Final answer
    x = 5,131.87

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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.