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Finding the Fourth Proportional to 9,695.65, 14,543.53 and 3,455.90

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Solution

The fourth proportional to 9,695.65, 14,543.53 and 3,455.90 is: 5,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.65 : 14,543.53 = 3,455.90 : x
  2. Step 2: Convert to fraction form
    9,695.65/14,543.53 = 3,455.90/x
  3. Step 3: Cross multiply
    9,695.65x = 14,543.53 × 3,455.90
  4. Step 4: Simplify right side
    9,695.65x = 50,260,968.05
  5. Step 5: Solve for x
    x = 50,260,968.05/9,695.65
  6. Step 6: Final answer
    x = 5,183.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.