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Finding the Fourth Proportional to 9,563.40, 13,197.46 and 5,314.44

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Solution

The fourth proportional to 9,563.40, 13,197.46 and 5,314.44 is: 7,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.40 : 13,197.46 = 5,314.44 : x
  2. Step 2: Convert to fraction form
    9,563.40/13,197.46 = 5,314.44/x
  3. Step 3: Cross multiply
    9,563.40x = 13,197.46 × 5,314.44
  4. Step 4: Simplify right side
    9,563.40x = 70,137,109.32
  5. Step 5: Solve for x
    x = 70,137,109.32/9,563.40
  6. Step 6: Final answer
    x = 7,333.91

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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.