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Finding the Fourth Proportional to 9,673.83, 14,512.19 and 2,748.15

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Solution

The fourth proportional to 9,673.83, 14,512.19 and 2,748.15 is: 4,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.83 : 14,512.19 = 2,748.15 : x
  2. Step 2: Convert to fraction form
    9,673.83/14,512.19 = 2,748.15/x
  3. Step 3: Cross multiply
    9,673.83x = 14,512.19 × 2,748.15
  4. Step 4: Simplify right side
    9,673.83x = 39,881,661.21
  5. Step 5: Solve for x
    x = 39,881,661.21/9,673.83
  6. Step 6: Final answer
    x = 4,122.63

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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.