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Finding the Fourth Proportional to 35,976.98, 53,961.60 and 9,684.38

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Solution

The fourth proportional to 35,976.98, 53,961.60 and 9,684.38 is: 14,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,976.98 : 53,961.60 = 9,684.38 : x
  2. Step 2: Convert to fraction form
    35,976.98/53,961.60 = 9,684.38/x
  3. Step 3: Cross multiply
    35,976.98x = 53,961.60 × 9,684.38
  4. Step 4: Simplify right side
    35,976.98x = 522,584,639.81
  5. Step 5: Solve for x
    x = 522,584,639.81/35,976.98
  6. Step 6: Final answer
    x = 14,525.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.