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Finding the Fourth Proportional to 9,695.10, 14,543.89 and 3,455.74

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Solution

The fourth proportional to 9,695.10, 14,543.89 and 3,455.74 is: 5,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.10 : 14,543.89 = 3,455.74 : x
  2. Step 2: Convert to fraction form
    9,695.10/14,543.89 = 3,455.74/x
  3. Step 3: Cross multiply
    9,695.10x = 14,543.89 × 3,455.74
  4. Step 4: Simplify right side
    9,695.10x = 50,259,902.43
  5. Step 5: Solve for x
    x = 50,259,902.43/9,695.10
  6. Step 6: Final answer
    x = 5,184.05

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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.