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Finding the Fourth Proportional to 9,096.42, 12,552.59 and 5,117.43

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Solution

The fourth proportional to 9,096.42, 12,552.59 and 5,117.43 is: 7,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.42 : 12,552.59 = 5,117.43 : x
  2. Step 2: Convert to fraction form
    9,096.42/12,552.59 = 5,117.43/x
  3. Step 3: Cross multiply
    9,096.42x = 12,552.59 × 5,117.43
  4. Step 4: Simplify right side
    9,096.42x = 64,236,975.06
  5. Step 5: Solve for x
    x = 64,236,975.06/9,096.42
  6. Step 6: Final answer
    x = 7,061.79

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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.