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Finding the Fourth Proportional to 9,730.83, 14,599.31 and 3,486.59

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Solution

The fourth proportional to 9,730.83, 14,599.31 and 3,486.59 is: 5,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.83 : 14,599.31 = 3,486.59 : x
  2. Step 2: Convert to fraction form
    9,730.83/14,599.31 = 3,486.59/x
  3. Step 3: Cross multiply
    9,730.83x = 14,599.31 × 3,486.59
  4. Step 4: Simplify right side
    9,730.83x = 50,901,717.82
  5. Step 5: Solve for x
    x = 50,901,717.82/9,730.83
  6. Step 6: Final answer
    x = 5,230.97

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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.