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Finding the Fourth Proportional to 8,693.66, 13,037.21 and 3,145.63

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Solution

The fourth proportional to 8,693.66, 13,037.21 and 3,145.63 is: 4,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.66 : 13,037.21 = 3,145.63 : x
  2. Step 2: Convert to fraction form
    8,693.66/13,037.21 = 3,145.63/x
  3. Step 3: Cross multiply
    8,693.66x = 13,037.21 × 3,145.63
  4. Step 4: Simplify right side
    8,693.66x = 41,010,238.89
  5. Step 5: Solve for x
    x = 41,010,238.89/8,693.66
  6. Step 6: Final answer
    x = 4,717.26

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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.