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Finding the Fourth Proportional to 9,571.34, 14,346.07 and 5,876.22

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Solution

The fourth proportional to 9,571.34, 14,346.07 and 5,876.22 is: 8,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.34 : 14,346.07 = 5,876.22 : x
  2. Step 2: Convert to fraction form
    9,571.34/14,346.07 = 5,876.22/x
  3. Step 3: Cross multiply
    9,571.34x = 14,346.07 × 5,876.22
  4. Step 4: Simplify right side
    9,571.34x = 84,300,663.46
  5. Step 5: Solve for x
    x = 84,300,663.46/9,571.34
  6. Step 6: Final answer
    x = 8,807.61

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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.