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Finding the Fourth Proportional to 6,202.88, 9,304.37 and 2,307.29

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Solution

The fourth proportional to 6,202.88, 9,304.37 and 2,307.29 is: 3,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.88 : 9,304.37 = 2,307.29 : x
  2. Step 2: Convert to fraction form
    6,202.88/9,304.37 = 2,307.29/x
  3. Step 3: Cross multiply
    6,202.88x = 9,304.37 × 2,307.29
  4. Step 4: Simplify right side
    6,202.88x = 21,467,830.45
  5. Step 5: Solve for x
    x = 21,467,830.45/6,202.88
  6. Step 6: Final answer
    x = 3,460.95

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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.