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Finding the Fourth Proportional to 9,684.45, 13,365.42 and 5,703.57

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Solution

The fourth proportional to 9,684.45, 13,365.42 and 5,703.57 is: 7,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.45 : 13,365.42 = 5,703.57 : x
  2. Step 2: Convert to fraction form
    9,684.45/13,365.42 = 5,703.57/x
  3. Step 3: Cross multiply
    9,684.45x = 13,365.42 × 5,703.57
  4. Step 4: Simplify right side
    9,684.45x = 76,230,608.55
  5. Step 5: Solve for x
    x = 76,230,608.55/9,684.45
  6. Step 6: Final answer
    x = 7,871.44

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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.