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Finding the Fourth Proportional to 9,424.78, 13,006.26 and 5,890.06

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Solution

The fourth proportional to 9,424.78, 13,006.26 and 5,890.06 is: 8,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.78 : 13,006.26 = 5,890.06 : x
  2. Step 2: Convert to fraction form
    9,424.78/13,006.26 = 5,890.06/x
  3. Step 3: Cross multiply
    9,424.78x = 13,006.26 × 5,890.06
  4. Step 4: Simplify right side
    9,424.78x = 76,607,651.78
  5. Step 5: Solve for x
    x = 76,607,651.78/9,424.78
  6. Step 6: Final answer
    x = 8,128.32

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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.