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Finding the Fourth Proportional to 9,817.34, 13,548.04 and 5,341.11

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Solution

The fourth proportional to 9,817.34, 13,548.04 and 5,341.11 is: 7,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.34 : 13,548.04 = 5,341.11 : x
  2. Step 2: Convert to fraction form
    9,817.34/13,548.04 = 5,341.11/x
  3. Step 3: Cross multiply
    9,817.34x = 13,548.04 × 5,341.11
  4. Step 4: Simplify right side
    9,817.34x = 72,361,571.92
  5. Step 5: Solve for x
    x = 72,361,571.92/9,817.34
  6. Step 6: Final answer
    x = 7,370.79

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Why These Related Problems?

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