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Finding the Fourth Proportional to 6,307.62, 9,467.91 and 6,074.34

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Solution

The fourth proportional to 6,307.62, 9,467.91 and 6,074.34 is: 9,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.62 : 9,467.91 = 6,074.34 : x
  2. Step 2: Convert to fraction form
    6,307.62/9,467.91 = 6,074.34/x
  3. Step 3: Cross multiply
    6,307.62x = 9,467.91 × 6,074.34
  4. Step 4: Simplify right side
    6,307.62x = 57,511,304.43
  5. Step 5: Solve for x
    x = 57,511,304.43/6,307.62
  6. Step 6: Final answer
    x = 9,117.75

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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.