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Finding the Fourth Proportional to 6,467.84, 9,701.96 and 2,307.78

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Solution

The fourth proportional to 6,467.84, 9,701.96 and 2,307.78 is: 3,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.84 : 9,701.96 = 2,307.78 : x
  2. Step 2: Convert to fraction form
    6,467.84/9,701.96 = 2,307.78/x
  3. Step 3: Cross multiply
    6,467.84x = 9,701.96 × 2,307.78
  4. Step 4: Simplify right side
    6,467.84x = 22,389,989.25
  5. Step 5: Solve for x
    x = 22,389,989.25/6,467.84
  6. Step 6: Final answer
    x = 3,461.74

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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.