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Finding the Fourth Proportional to 7,096.34, 9,792.94 and 4,113.90

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Solution

The fourth proportional to 7,096.34, 9,792.94 and 4,113.90 is: 5,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.34 : 9,792.94 = 4,113.90 : x
  2. Step 2: Convert to fraction form
    7,096.34/9,792.94 = 4,113.90/x
  3. Step 3: Cross multiply
    7,096.34x = 9,792.94 × 4,113.90
  4. Step 4: Simplify right side
    7,096.34x = 40,287,155.30
  5. Step 5: Solve for x
    x = 40,287,155.30/7,096.34
  6. Step 6: Final answer
    x = 5,677.18

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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.