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Finding the Fourth Proportional to 9,533.96, 14,304.86 and 4,194.39

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Solution

The fourth proportional to 9,533.96, 14,304.86 and 4,194.39 is: 6,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.96 : 14,304.86 = 4,194.39 : x
  2. Step 2: Convert to fraction form
    9,533.96/14,304.86 = 4,194.39/x
  3. Step 3: Cross multiply
    9,533.96x = 14,304.86 × 4,194.39
  4. Step 4: Simplify right side
    9,533.96x = 60,000,140.76
  5. Step 5: Solve for x
    x = 60,000,140.76/9,533.96
  6. Step 6: Final answer
    x = 6,293.31

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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.