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Finding the Fourth Proportional to 9,672.53, 14,510.96 and 3,099.11

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Solution

The fourth proportional to 9,672.53, 14,510.96 and 3,099.11 is: 4,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.53 : 14,510.96 = 3,099.11 : x
  2. Step 2: Convert to fraction form
    9,672.53/14,510.96 = 3,099.11/x
  3. Step 3: Cross multiply
    9,672.53x = 14,510.96 × 3,099.11
  4. Step 4: Simplify right side
    9,672.53x = 44,971,032.72
  5. Step 5: Solve for x
    x = 44,971,032.72/9,672.53
  6. Step 6: Final answer
    x = 4,649.36

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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.