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Finding the Fourth Proportional to 9,096.72, 12,552.80 and 5,117.06

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Solution

The fourth proportional to 9,096.72, 12,552.80 and 5,117.06 is: 7,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.72 : 12,552.80 = 5,117.06 : x
  2. Step 2: Convert to fraction form
    9,096.72/12,552.80 = 5,117.06/x
  3. Step 3: Cross multiply
    9,096.72x = 12,552.80 × 5,117.06
  4. Step 4: Simplify right side
    9,096.72x = 64,233,471.44
  5. Step 5: Solve for x
    x = 64,233,471.44/9,096.72
  6. Step 6: Final answer
    x = 7,061.17

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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.