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Finding the Fourth Proportional to 9,784.19, 13,503.08 and 5,591.63

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Solution

The fourth proportional to 9,784.19, 13,503.08 and 5,591.63 is: 7,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.19 : 13,503.08 = 5,591.63 : x
  2. Step 2: Convert to fraction form
    9,784.19/13,503.08 = 5,591.63/x
  3. Step 3: Cross multiply
    9,784.19x = 13,503.08 × 5,591.63
  4. Step 4: Simplify right side
    9,784.19x = 75,504,173.68
  5. Step 5: Solve for x
    x = 75,504,173.68/9,784.19
  6. Step 6: Final answer
    x = 7,716.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.