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Finding the Fourth Proportional to 9,739.20, 14,608.80 and 8,846.40

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Solution

The fourth proportional to 9,739.20, 14,608.80 and 8,846.40 is: 13,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.20 : 14,608.80 = 8,846.40 : x
  2. Step 2: Convert to fraction form
    9,739.20/14,608.80 = 8,846.40/x
  3. Step 3: Cross multiply
    9,739.20x = 14,608.80 × 8,846.40
  4. Step 4: Simplify right side
    9,739.20x = 129,235,288.32
  5. Step 5: Solve for x
    x = 129,235,288.32/9,739.20
  6. Step 6: Final answer
    x = 13,269.60

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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.