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Finding the Fourth Proportional to 9,563.90, 14,346.74 and 3,720.95

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Solution

The fourth proportional to 9,563.90, 14,346.74 and 3,720.95 is: 5,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.90 : 14,346.74 = 3,720.95 : x
  2. Step 2: Convert to fraction form
    9,563.90/14,346.74 = 3,720.95/x
  3. Step 3: Cross multiply
    9,563.90x = 14,346.74 × 3,720.95
  4. Step 4: Simplify right side
    9,563.90x = 53,383,502.20
  5. Step 5: Solve for x
    x = 53,383,502.20/9,563.90
  6. Step 6: Final answer
    x = 5,581.77

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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.