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Finding the Fourth Proportional to 9,573.86, 13,211.25 and 5,382.74

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Solution

The fourth proportional to 9,573.86, 13,211.25 and 5,382.74 is: 7,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.86 : 13,211.25 = 5,382.74 : x
  2. Step 2: Convert to fraction form
    9,573.86/13,211.25 = 5,382.74/x
  3. Step 3: Cross multiply
    9,573.86x = 13,211.25 × 5,382.74
  4. Step 4: Simplify right side
    9,573.86x = 71,112,723.83
  5. Step 5: Solve for x
    x = 71,112,723.83/9,573.86
  6. Step 6: Final answer
    x = 7,427.80

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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.