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Finding the Fourth Proportional to 9,672.68, 14,510.76 and 3,100.52

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Solution

The fourth proportional to 9,672.68, 14,510.76 and 3,100.52 is: 4,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.68 : 14,510.76 = 3,100.52 : x
  2. Step 2: Convert to fraction form
    9,672.68/14,510.76 = 3,100.52/x
  3. Step 3: Cross multiply
    9,672.68x = 14,510.76 × 3,100.52
  4. Step 4: Simplify right side
    9,672.68x = 44,990,901.60
  5. Step 5: Solve for x
    x = 44,990,901.60/9,672.68
  6. Step 6: Final answer
    x = 4,651.34

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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.