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Finding the Fourth Proportional to 9,862.35, 13,609.42 and 5,385.21

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Solution

The fourth proportional to 9,862.35, 13,609.42 and 5,385.21 is: 7,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.35 : 13,609.42 = 5,385.21 : x
  2. Step 2: Convert to fraction form
    9,862.35/13,609.42 = 5,385.21/x
  3. Step 3: Cross multiply
    9,862.35x = 13,609.42 × 5,385.21
  4. Step 4: Simplify right side
    9,862.35x = 73,289,584.68
  5. Step 5: Solve for x
    x = 73,289,584.68/9,862.35
  6. Step 6: Final answer
    x = 7,431.25

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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.