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Finding the Fourth Proportional to 9,096.96, 12,552.93 and 5,119.47

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Solution

The fourth proportional to 9,096.96, 12,552.93 and 5,119.47 is: 7,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.96 : 12,552.93 = 5,119.47 : x
  2. Step 2: Convert to fraction form
    9,096.96/12,552.93 = 5,119.47/x
  3. Step 3: Cross multiply
    9,096.96x = 12,552.93 × 5,119.47
  4. Step 4: Simplify right side
    9,096.96x = 64,264,348.55
  5. Step 5: Solve for x
    x = 64,264,348.55/9,096.96
  6. Step 6: Final answer
    x = 7,064.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.