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Finding the Fourth Proportional to 9,863.35, 14,794.41 and 4,316.06

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Solution

The fourth proportional to 9,863.35, 14,794.41 and 4,316.06 is: 6,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.35 : 14,794.41 = 4,316.06 : x
  2. Step 2: Convert to fraction form
    9,863.35/14,794.41 = 4,316.06/x
  3. Step 3: Cross multiply
    9,863.35x = 14,794.41 × 4,316.06
  4. Step 4: Simplify right side
    9,863.35x = 63,853,561.22
  5. Step 5: Solve for x
    x = 63,853,561.22/9,863.35
  6. Step 6: Final answer
    x = 6,473.82

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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.