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Finding the Fourth Proportional to 6,197.04, 9,288 and 4,742.28

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Solution

The fourth proportional to 6,197.04, 9,288 and 4,742.28 is: 7,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.04 : 9,288 = 4,742.28 : x
  2. Step 2: Convert to fraction form
    6,197.04/9,288 = 4,742.28/x
  3. Step 3: Cross multiply
    6,197.04x = 9,288 × 4,742.28
  4. Step 4: Simplify right side
    6,197.04x = 44,046,296.64
  5. Step 5: Solve for x
    x = 44,046,296.64/6,197.04
  6. Step 6: Final answer
    x = 7,107.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.