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Finding the Fourth Proportional to 6,965.53, 9,614.96 and 4,738.93

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Solution

The fourth proportional to 6,965.53, 9,614.96 and 4,738.93 is: 6,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.53 : 9,614.96 = 4,738.93 : x
  2. Step 2: Convert to fraction form
    6,965.53/9,614.96 = 4,738.93/x
  3. Step 3: Cross multiply
    6,965.53x = 9,614.96 × 4,738.93
  4. Step 4: Simplify right side
    6,965.53x = 45,564,622.39
  5. Step 5: Solve for x
    x = 45,564,622.39/6,965.53
  6. Step 6: Final answer
    x = 6,541.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.