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Finding the Fourth Proportional to 9,855.36, 14,785.92 and 4,654.08

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Solution

The fourth proportional to 9,855.36, 14,785.92 and 4,654.08 is: 6,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.36 : 14,785.92 = 4,654.08 : x
  2. Step 2: Convert to fraction form
    9,855.36/14,785.92 = 4,654.08/x
  3. Step 3: Cross multiply
    9,855.36x = 14,785.92 × 4,654.08
  4. Step 4: Simplify right side
    9,855.36x = 68,814,854.55
  5. Step 5: Solve for x
    x = 68,814,854.55/9,855.36
  6. Step 6: Final answer
    x = 6,982.48

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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.