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Finding the Fourth Proportional to 9,817.86, 13,548.98 and 5,626.92

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Solution

The fourth proportional to 9,817.86, 13,548.98 and 5,626.92 is: 7,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.86 : 13,548.98 = 5,626.92 : x
  2. Step 2: Convert to fraction form
    9,817.86/13,548.98 = 5,626.92/x
  3. Step 3: Cross multiply
    9,817.86x = 13,548.98 × 5,626.92
  4. Step 4: Simplify right side
    9,817.86x = 76,239,026.54
  5. Step 5: Solve for x
    x = 76,239,026.54/9,817.86
  6. Step 6: Final answer
    x = 7,765.34

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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.