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Finding the Fourth Proportional to 9,581.37, 13,222.98 and 5,332.77

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Solution

The fourth proportional to 9,581.37, 13,222.98 and 5,332.77 is: 7,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.37 : 13,222.98 = 5,332.77 : x
  2. Step 2: Convert to fraction form
    9,581.37/13,222.98 = 5,332.77/x
  3. Step 3: Cross multiply
    9,581.37x = 13,222.98 × 5,332.77
  4. Step 4: Simplify right side
    9,581.37x = 70,515,111.05
  5. Step 5: Solve for x
    x = 70,515,111.05/9,581.37
  6. Step 6: Final answer
    x = 7,359.61

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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.