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Finding the Fourth Proportional to 6,202.44, 9,307.80 and 2,307.24

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Solution

The fourth proportional to 6,202.44, 9,307.80 and 2,307.24 is: 3,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.44 : 9,307.80 = 2,307.24 : x
  2. Step 2: Convert to fraction form
    6,202.44/9,307.80 = 2,307.24/x
  3. Step 3: Cross multiply
    6,202.44x = 9,307.80 × 2,307.24
  4. Step 4: Simplify right side
    6,202.44x = 21,475,328.47
  5. Step 5: Solve for x
    x = 21,475,328.47/6,202.44
  6. Step 6: Final answer
    x = 3,462.40

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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.