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Finding the Fourth Proportional to 9,879.12, 14,817.60 and 2,952

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Solution

The fourth proportional to 9,879.12, 14,817.60 and 2,952 is: 4,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.12 : 14,817.60 = 2,952 : x
  2. Step 2: Convert to fraction form
    9,879.12/14,817.60 = 2,952/x
  3. Step 3: Cross multiply
    9,879.12x = 14,817.60 × 2,952
  4. Step 4: Simplify right side
    9,879.12x = 43,741,555.20
  5. Step 5: Solve for x
    x = 43,741,555.20/9,879.12
  6. Step 6: Final answer
    x = 4,427.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.