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Finding the Fourth Proportional to 9,518.76, 14,256.24 and 6,227.31

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Solution

The fourth proportional to 9,518.76, 14,256.24 and 6,227.31 is: 9,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.76 : 14,256.24 = 6,227.31 : x
  2. Step 2: Convert to fraction form
    9,518.76/14,256.24 = 6,227.31/x
  3. Step 3: Cross multiply
    9,518.76x = 14,256.24 × 6,227.31
  4. Step 4: Simplify right side
    9,518.76x = 88,778,025.91
  5. Step 5: Solve for x
    x = 88,778,025.91/9,518.76
  6. Step 6: Final answer
    x = 9,326.64

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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.