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Finding the Fourth Proportional to 9,785.58, 14,683.44 and 4,855.12

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Solution

The fourth proportional to 9,785.58, 14,683.44 and 4,855.12 is: 7,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.58 : 14,683.44 = 4,855.12 : x
  2. Step 2: Convert to fraction form
    9,785.58/14,683.44 = 4,855.12/x
  3. Step 3: Cross multiply
    9,785.58x = 14,683.44 × 4,855.12
  4. Step 4: Simplify right side
    9,785.58x = 71,289,863.21
  5. Step 5: Solve for x
    x = 71,289,863.21/9,785.58
  6. Step 6: Final answer
    x = 7,285.20

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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.