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Finding the Fourth Proportional to 9,804.40, 14,708.88 and 2,879.44

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Solution

The fourth proportional to 9,804.40, 14,708.88 and 2,879.44 is: 4,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.40 : 14,708.88 = 2,879.44 : x
  2. Step 2: Convert to fraction form
    9,804.40/14,708.88 = 2,879.44/x
  3. Step 3: Cross multiply
    9,804.40x = 14,708.88 × 2,879.44
  4. Step 4: Simplify right side
    9,804.40x = 42,353,337.43
  5. Step 5: Solve for x
    x = 42,353,337.43/9,804.40
  6. Step 6: Final answer
    x = 4,319.83

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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.