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Finding the Fourth Proportional to 9,426.36, 13,009.02 and 5,234.52

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Solution

The fourth proportional to 9,426.36, 13,009.02 and 5,234.52 is: 7,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.36 : 13,009.02 = 5,234.52 : x
  2. Step 2: Convert to fraction form
    9,426.36/13,009.02 = 5,234.52/x
  3. Step 3: Cross multiply
    9,426.36x = 13,009.02 × 5,234.52
  4. Step 4: Simplify right side
    9,426.36x = 68,095,975.37
  5. Step 5: Solve for x
    x = 68,095,975.37/9,426.36
  6. Step 6: Final answer
    x = 7,223.99

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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.