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Finding the Fourth Proportional to 9,688.80, 14,524.02 and 3,111.60

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Solution

The fourth proportional to 9,688.80, 14,524.02 and 3,111.60 is: 4,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.80 : 14,524.02 = 3,111.60 : x
  2. Step 2: Convert to fraction form
    9,688.80/14,524.02 = 3,111.60/x
  3. Step 3: Cross multiply
    9,688.80x = 14,524.02 × 3,111.60
  4. Step 4: Simplify right side
    9,688.80x = 45,192,940.63
  5. Step 5: Solve for x
    x = 45,192,940.63/9,688.80
  6. Step 6: Final answer
    x = 4,664.45

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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.