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Finding the Fourth Proportional to 9,563.10, 13,196.81 and 5,314.05

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Solution

The fourth proportional to 9,563.10, 13,196.81 and 5,314.05 is: 7,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.10 : 13,196.81 = 5,314.05 : x
  2. Step 2: Convert to fraction form
    9,563.10/13,196.81 = 5,314.05/x
  3. Step 3: Cross multiply
    9,563.10x = 13,196.81 × 5,314.05
  4. Step 4: Simplify right side
    9,563.10x = 70,128,521.47
  5. Step 5: Solve for x
    x = 70,128,521.47/9,563.10
  6. Step 6: Final answer
    x = 7,333.24

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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.