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Finding the Fourth Proportional to 7,015.12, 9,684.37 and 4,363.38

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Solution

The fourth proportional to 7,015.12, 9,684.37 and 4,363.38 is: 6,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.12 : 9,684.37 = 4,363.38 : x
  2. Step 2: Convert to fraction form
    7,015.12/9,684.37 = 4,363.38/x
  3. Step 3: Cross multiply
    7,015.12x = 9,684.37 × 4,363.38
  4. Step 4: Simplify right side
    7,015.12x = 42,256,586.37
  5. Step 5: Solve for x
    x = 42,256,586.37/7,015.12
  6. Step 6: Final answer
    x = 6,023.64

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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.