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Finding the Fourth Proportional to 9,639.81, 13,298.78 and 6,449.83

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Solution

The fourth proportional to 9,639.81, 13,298.78 and 6,449.83 is: 8,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.81 : 13,298.78 = 6,449.83 : x
  2. Step 2: Convert to fraction form
    9,639.81/13,298.78 = 6,449.83/x
  3. Step 3: Cross multiply
    9,639.81x = 13,298.78 × 6,449.83
  4. Step 4: Simplify right side
    9,639.81x = 85,774,853.09
  5. Step 5: Solve for x
    x = 85,774,853.09/9,639.81
  6. Step 6: Final answer
    x = 8,897.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.