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Finding the Fourth Proportional to 6,942.72, 9,569.70 and 4,284.30

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Solution

The fourth proportional to 6,942.72, 9,569.70 and 4,284.30 is: 5,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.72 : 9,569.70 = 4,284.30 : x
  2. Step 2: Convert to fraction form
    6,942.72/9,569.70 = 4,284.30/x
  3. Step 3: Cross multiply
    6,942.72x = 9,569.70 × 4,284.30
  4. Step 4: Simplify right side
    6,942.72x = 40,999,465.71
  5. Step 5: Solve for x
    x = 40,999,465.71/6,942.72
  6. Step 6: Final answer
    x = 5,905.39

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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.