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Finding the Fourth Proportional to 9,563.75, 14,346.17 and 3,407.75

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Solution

The fourth proportional to 9,563.75, 14,346.17 and 3,407.75 is: 5,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.75 : 14,346.17 = 3,407.75 : x
  2. Step 2: Convert to fraction form
    9,563.75/14,346.17 = 3,407.75/x
  3. Step 3: Cross multiply
    9,563.75x = 14,346.17 × 3,407.75
  4. Step 4: Simplify right side
    9,563.75x = 48,888,160.82
  5. Step 5: Solve for x
    x = 48,888,160.82/9,563.75
  6. Step 6: Final answer
    x = 5,111.82

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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.