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Finding the Fourth Proportional to 8,691.84, 13,037.74 and 3,145.16

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Solution

The fourth proportional to 8,691.84, 13,037.74 and 3,145.16 is: 4,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.84 : 13,037.74 = 3,145.16 : x
  2. Step 2: Convert to fraction form
    8,691.84/13,037.74 = 3,145.16/x
  3. Step 3: Cross multiply
    8,691.84x = 13,037.74 × 3,145.16
  4. Step 4: Simplify right side
    8,691.84x = 41,005,803.07
  5. Step 5: Solve for x
    x = 41,005,803.07/8,691.84
  6. Step 6: Final answer
    x = 4,717.74

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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.