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Finding the Fourth Proportional to 9,530.10, 13,154.94 and 5,943.42

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Solution

The fourth proportional to 9,530.10, 13,154.94 and 5,943.42 is: 8,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.10 : 13,154.94 = 5,943.42 : x
  2. Step 2: Convert to fraction form
    9,530.10/13,154.94 = 5,943.42/x
  3. Step 3: Cross multiply
    9,530.10x = 13,154.94 × 5,943.42
  4. Step 4: Simplify right side
    9,530.10x = 78,185,333.49
  5. Step 5: Solve for x
    x = 78,185,333.49/9,530.10
  6. Step 6: Final answer
    x = 8,204.04

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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.