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Finding the Fourth Proportional to 6,665.68, 9,197.04 and 4,307.44

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Solution

The fourth proportional to 6,665.68, 9,197.04 and 4,307.44 is: 5,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.68 : 9,197.04 = 4,307.44 : x
  2. Step 2: Convert to fraction form
    6,665.68/9,197.04 = 4,307.44/x
  3. Step 3: Cross multiply
    6,665.68x = 9,197.04 × 4,307.44
  4. Step 4: Simplify right side
    6,665.68x = 39,615,697.98
  5. Step 5: Solve for x
    x = 39,615,697.98/6,665.68
  6. Step 6: Final answer
    x = 5,943.23

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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.