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Finding the Fourth Proportional to 9,350.70, 12,903.75 and 5,813.70

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Solution

The fourth proportional to 9,350.70, 12,903.75 and 5,813.70 is: 8,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.70 : 12,903.75 = 5,813.70 : x
  2. Step 2: Convert to fraction form
    9,350.70/12,903.75 = 5,813.70/x
  3. Step 3: Cross multiply
    9,350.70x = 12,903.75 × 5,813.70
  4. Step 4: Simplify right side
    9,350.70x = 75,018,531.38
  5. Step 5: Solve for x
    x = 75,018,531.38/9,350.70
  6. Step 6: Final answer
    x = 8,022.77

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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.