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Finding the Fourth Proportional to 9,012.29, 12,429.92 and 5,782.41

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Solution

The fourth proportional to 9,012.29, 12,429.92 and 5,782.41 is: 7,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.29 : 12,429.92 = 5,782.41 : x
  2. Step 2: Convert to fraction form
    9,012.29/12,429.92 = 5,782.41/x
  3. Step 3: Cross multiply
    9,012.29x = 12,429.92 × 5,782.41
  4. Step 4: Simplify right side
    9,012.29x = 71,874,893.71
  5. Step 5: Solve for x
    x = 71,874,893.71/9,012.29
  6. Step 6: Final answer
    x = 7,975.21

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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.