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Finding the Fourth Proportional to 9,695.39, 14,543.08 and 3,121.56

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Solution

The fourth proportional to 9,695.39, 14,543.08 and 3,121.56 is: 4,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.39 : 14,543.08 = 3,121.56 : x
  2. Step 2: Convert to fraction form
    9,695.39/14,543.08 = 3,121.56/x
  3. Step 3: Cross multiply
    9,695.39x = 14,543.08 × 3,121.56
  4. Step 4: Simplify right side
    9,695.39x = 45,397,089.00
  5. Step 5: Solve for x
    x = 45,397,089.00/9,695.39
  6. Step 6: Final answer
    x = 4,682.34

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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.