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Finding the Fourth Proportional to 6,307.72, 9,461.34 and 2,609

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Solution

The fourth proportional to 6,307.72, 9,461.34 and 2,609 is: 3,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.72 : 9,461.34 = 2,609 : x
  2. Step 2: Convert to fraction form
    6,307.72/9,461.34 = 2,609/x
  3. Step 3: Cross multiply
    6,307.72x = 9,461.34 × 2,609
  4. Step 4: Simplify right side
    6,307.72x = 24,684,636.06
  5. Step 5: Solve for x
    x = 24,684,636.06/6,307.72
  6. Step 6: Final answer
    x = 3,913.40

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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.