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Finding the Fourth Proportional to 7,096.68, 9,795.60 and 4,113.27

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Solution

The fourth proportional to 7,096.68, 9,795.60 and 4,113.27 is: 5,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.68 : 9,795.60 = 4,113.27 : x
  2. Step 2: Convert to fraction form
    7,096.68/9,795.60 = 4,113.27/x
  3. Step 3: Cross multiply
    7,096.68x = 9,795.60 × 4,113.27
  4. Step 4: Simplify right side
    7,096.68x = 40,291,947.61
  5. Step 5: Solve for x
    x = 40,291,947.61/7,096.68
  6. Step 6: Final answer
    x = 5,677.58

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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.