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Finding the Fourth Proportional to 9,096.89, 12,553.68 and 5,118

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Solution

The fourth proportional to 9,096.89, 12,553.68 and 5,118 is: 7,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.89 : 12,553.68 = 5,118 : x
  2. Step 2: Convert to fraction form
    9,096.89/12,553.68 = 5,118/x
  3. Step 3: Cross multiply
    9,096.89x = 12,553.68 × 5,118
  4. Step 4: Simplify right side
    9,096.89x = 64,249,734.24
  5. Step 5: Solve for x
    x = 64,249,734.24/9,096.89
  6. Step 6: Final answer
    x = 7,062.82

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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.