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Finding the Fourth Proportional to 9,740.64, 14,611.78 and 4,194.12

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Solution

The fourth proportional to 9,740.64, 14,611.78 and 4,194.12 is: 6,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.64 : 14,611.78 = 4,194.12 : x
  2. Step 2: Convert to fraction form
    9,740.64/14,611.78 = 4,194.12/x
  3. Step 3: Cross multiply
    9,740.64x = 14,611.78 × 4,194.12
  4. Step 4: Simplify right side
    9,740.64x = 61,283,558.73
  5. Step 5: Solve for x
    x = 61,283,558.73/9,740.64
  6. Step 6: Final answer
    x = 6,291.53

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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.