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Finding the Fourth Proportional to 9,731.09, 14,591.13 and 5,513.81

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Solution

The fourth proportional to 9,731.09, 14,591.13 and 5,513.81 is: 8,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.09 : 14,591.13 = 5,513.81 : x
  2. Step 2: Convert to fraction form
    9,731.09/14,591.13 = 5,513.81/x
  3. Step 3: Cross multiply
    9,731.09x = 14,591.13 × 5,513.81
  4. Step 4: Simplify right side
    9,731.09x = 80,452,718.51
  5. Step 5: Solve for x
    x = 80,452,718.51/9,731.09
  6. Step 6: Final answer
    x = 8,267.60

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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.