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Finding the Fourth Proportional to 9,083.64, 12,540.78 and 8,558.76

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Solution

The fourth proportional to 9,083.64, 12,540.78 and 8,558.76 is: 11,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.64 : 12,540.78 = 8,558.76 : x
  2. Step 2: Convert to fraction form
    9,083.64/12,540.78 = 8,558.76/x
  3. Step 3: Cross multiply
    9,083.64x = 12,540.78 × 8,558.76
  4. Step 4: Simplify right side
    9,083.64x = 107,333,526.23
  5. Step 5: Solve for x
    x = 107,333,526.23/9,083.64
  6. Step 6: Final answer
    x = 11,816.14

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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.