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Finding the Fourth Proportional to 6,586.26, 9,883.29 and 2,429.19

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Solution

The fourth proportional to 6,586.26, 9,883.29 and 2,429.19 is: 3,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.26 : 9,883.29 = 2,429.19 : x
  2. Step 2: Convert to fraction form
    6,586.26/9,883.29 = 2,429.19/x
  3. Step 3: Cross multiply
    6,586.26x = 9,883.29 × 2,429.19
  4. Step 4: Simplify right side
    6,586.26x = 24,008,389.24
  5. Step 5: Solve for x
    x = 24,008,389.24/6,586.26
  6. Step 6: Final answer
    x = 3,645.22

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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.