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Finding the Fourth Proportional to 9,141.60, 13,706.28 and 4,204.56

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Solution

The fourth proportional to 9,141.60, 13,706.28 and 4,204.56 is: 6,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.60 : 13,706.28 = 4,204.56 : x
  2. Step 2: Convert to fraction form
    9,141.60/13,706.28 = 4,204.56/x
  3. Step 3: Cross multiply
    9,141.60x = 13,706.28 × 4,204.56
  4. Step 4: Simplify right side
    9,141.60x = 57,628,876.64
  5. Step 5: Solve for x
    x = 57,628,876.64/9,141.60
  6. Step 6: Final answer
    x = 6,304.03

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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.