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Finding the Fourth Proportional to 9,246.80, 13,841.40 and 5,339.60

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Solution

The fourth proportional to 9,246.80, 13,841.40 and 5,339.60 is: 7,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.80 : 13,841.40 = 5,339.60 : x
  2. Step 2: Convert to fraction form
    9,246.80/13,841.40 = 5,339.60/x
  3. Step 3: Cross multiply
    9,246.80x = 13,841.40 × 5,339.60
  4. Step 4: Simplify right side
    9,246.80x = 73,907,539.44
  5. Step 5: Solve for x
    x = 73,907,539.44/9,246.80
  6. Step 6: Final answer
    x = 7,992.77

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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.