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Finding the Fourth Proportional to 7,097.96, 9,794.39 and 4,113.18

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Solution

The fourth proportional to 7,097.96, 9,794.39 and 4,113.18 is: 5,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.96 : 9,794.39 = 4,113.18 : x
  2. Step 2: Convert to fraction form
    7,097.96/9,794.39 = 4,113.18/x
  3. Step 3: Cross multiply
    7,097.96x = 9,794.39 × 4,113.18
  4. Step 4: Simplify right side
    7,097.96x = 40,286,068.49
  5. Step 5: Solve for x
    x = 40,286,068.49/7,097.96
  6. Step 6: Final answer
    x = 5,675.72

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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.