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Finding the Fourth Proportional to 9,744.80, 14,617.20 and 6,245.60

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Solution

The fourth proportional to 9,744.80, 14,617.20 and 6,245.60 is: 9,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.80 : 14,617.20 = 6,245.60 : x
  2. Step 2: Convert to fraction form
    9,744.80/14,617.20 = 6,245.60/x
  3. Step 3: Cross multiply
    9,744.80x = 14,617.20 × 6,245.60
  4. Step 4: Simplify right side
    9,744.80x = 91,293,184.32
  5. Step 5: Solve for x
    x = 91,293,184.32/9,744.80
  6. Step 6: Final answer
    x = 9,368.40

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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.