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Finding the Fourth Proportional to 9,424.40, 13,010.04 and 5,889.92

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Solution

The fourth proportional to 9,424.40, 13,010.04 and 5,889.92 is: 8,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.40 : 13,010.04 = 5,889.92 : x
  2. Step 2: Convert to fraction form
    9,424.40/13,010.04 = 5,889.92/x
  3. Step 3: Cross multiply
    9,424.40x = 13,010.04 × 5,889.92
  4. Step 4: Simplify right side
    9,424.40x = 76,628,094.80
  5. Step 5: Solve for x
    x = 76,628,094.80/9,424.40
  6. Step 6: Final answer
    x = 8,130.82

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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.