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Finding the Fourth Proportional to 9,731.70, 14,593.17 and 2,804.58

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Solution

The fourth proportional to 9,731.70, 14,593.17 and 2,804.58 is: 4,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.70 : 14,593.17 = 2,804.58 : x
  2. Step 2: Convert to fraction form
    9,731.70/14,593.17 = 2,804.58/x
  3. Step 3: Cross multiply
    9,731.70x = 14,593.17 × 2,804.58
  4. Step 4: Simplify right side
    9,731.70x = 40,927,712.72
  5. Step 5: Solve for x
    x = 40,927,712.72/9,731.70
  6. Step 6: Final answer
    x = 4,205.61

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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.