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Finding the Fourth Proportional to 9,560.43, 14,340.18 and 3,638.67

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Solution

The fourth proportional to 9,560.43, 14,340.18 and 3,638.67 is: 5,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.43 : 14,340.18 = 3,638.67 : x
  2. Step 2: Convert to fraction form
    9,560.43/14,340.18 = 3,638.67/x
  3. Step 3: Cross multiply
    9,560.43x = 14,340.18 × 3,638.67
  4. Step 4: Simplify right side
    9,560.43x = 52,179,111.06
  5. Step 5: Solve for x
    x = 52,179,111.06/9,560.43
  6. Step 6: Final answer
    x = 5,457.82

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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.