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Finding the Fourth Proportional to 9,672.68, 14,511.15 and 3,099.53

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Solution

The fourth proportional to 9,672.68, 14,511.15 and 3,099.53 is: 4,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.68 : 14,511.15 = 3,099.53 : x
  2. Step 2: Convert to fraction form
    9,672.68/14,511.15 = 3,099.53/x
  3. Step 3: Cross multiply
    9,672.68x = 14,511.15 × 3,099.53
  4. Step 4: Simplify right side
    9,672.68x = 44,977,781.04
  5. Step 5: Solve for x
    x = 44,977,781.04/9,672.68
  6. Step 6: Final answer
    x = 4,649.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.