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Finding the Fourth Proportional to 9,580.23, 13,223.03 and 6,393.69

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Solution

The fourth proportional to 9,580.23, 13,223.03 and 6,393.69 is: 8,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.23 : 13,223.03 = 6,393.69 : x
  2. Step 2: Convert to fraction form
    9,580.23/13,223.03 = 6,393.69/x
  3. Step 3: Cross multiply
    9,580.23x = 13,223.03 × 6,393.69
  4. Step 4: Simplify right side
    9,580.23x = 84,543,904.55
  5. Step 5: Solve for x
    x = 84,543,904.55/9,580.23
  6. Step 6: Final answer
    x = 8,824.83

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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.