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Finding the Fourth Proportional to 9,841.44, 14,770.52 and 4,909.60

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Solution

The fourth proportional to 9,841.44, 14,770.52 and 4,909.60 is: 7,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.44 : 14,770.52 = 4,909.60 : x
  2. Step 2: Convert to fraction form
    9,841.44/14,770.52 = 4,909.60/x
  3. Step 3: Cross multiply
    9,841.44x = 14,770.52 × 4,909.60
  4. Step 4: Simplify right side
    9,841.44x = 72,517,344.99
  5. Step 5: Solve for x
    x = 72,517,344.99/9,841.44
  6. Step 6: Final answer
    x = 7,368.57

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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.