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Finding the Fourth Proportional to 6,467.33, 9,701.74 and 2,307.92

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Solution

The fourth proportional to 6,467.33, 9,701.74 and 2,307.92 is: 3,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.33 : 9,701.74 = 2,307.92 : x
  2. Step 2: Convert to fraction form
    6,467.33/9,701.74 = 2,307.92/x
  3. Step 3: Cross multiply
    6,467.33x = 9,701.74 × 2,307.92
  4. Step 4: Simplify right side
    6,467.33x = 22,390,839.78
  5. Step 5: Solve for x
    x = 22,390,839.78/6,467.33
  6. Step 6: Final answer
    x = 3,462.15

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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.