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Finding the Fourth Proportional to 9,096.16, 12,552.80 and 5,117.20

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Solution

The fourth proportional to 9,096.16, 12,552.80 and 5,117.20 is: 7,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.16 : 12,552.80 = 5,117.20 : x
  2. Step 2: Convert to fraction form
    9,096.16/12,552.80 = 5,117.20/x
  3. Step 3: Cross multiply
    9,096.16x = 12,552.80 × 5,117.20
  4. Step 4: Simplify right side
    9,096.16x = 64,235,188.16
  5. Step 5: Solve for x
    x = 64,235,188.16/9,096.16
  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.