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Finding the Fourth Proportional to 7,099.02, 9,792.90 and 4,114.17

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Solution

The fourth proportional to 7,099.02, 9,792.90 and 4,114.17 is: 5,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.02 : 9,792.90 = 4,114.17 : x
  2. Step 2: Convert to fraction form
    7,099.02/9,792.90 = 4,114.17/x
  3. Step 3: Cross multiply
    7,099.02x = 9,792.90 × 4,114.17
  4. Step 4: Simplify right side
    7,099.02x = 40,289,655.39
  5. Step 5: Solve for x
    x = 40,289,655.39/7,099.02
  6. Step 6: Final answer
    x = 5,675.38

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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.