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Finding the Fourth Proportional to 7,097.00, 9,793.85 and 4,114.55

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Solution

The fourth proportional to 7,097.00, 9,793.85 and 4,114.55 is: 5,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.00 : 9,793.85 = 4,114.55 : x
  2. Step 2: Convert to fraction form
    7,097.00/9,793.85 = 4,114.55/x
  3. Step 3: Cross multiply
    7,097.00x = 9,793.85 × 4,114.55
  4. Step 4: Simplify right side
    7,097.00x = 40,297,320.29
  5. Step 5: Solve for x
    x = 40,297,320.29/7,097.00
  6. Step 6: Final answer
    x = 5,678.08

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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.