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Finding the Fourth Proportional to 9,695.46, 14,543.24 and 3,455.71

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Solution

The fourth proportional to 9,695.46, 14,543.24 and 3,455.71 is: 5,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.46 : 14,543.24 = 3,455.71 : x
  2. Step 2: Convert to fraction form
    9,695.46/14,543.24 = 3,455.71/x
  3. Step 3: Cross multiply
    9,695.46x = 14,543.24 × 3,455.71
  4. Step 4: Simplify right side
    9,695.46x = 50,257,219.90
  5. Step 5: Solve for x
    x = 50,257,219.90/9,695.46
  6. Step 6: Final answer
    x = 5,183.58

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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.