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Finding the Fourth Proportional to 9,362.38, 12,919.02 and 5,384.80

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Solution

The fourth proportional to 9,362.38, 12,919.02 and 5,384.80 is: 7,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.38 : 12,919.02 = 5,384.80 : x
  2. Step 2: Convert to fraction form
    9,362.38/12,919.02 = 5,384.80/x
  3. Step 3: Cross multiply
    9,362.38x = 12,919.02 × 5,384.80
  4. Step 4: Simplify right side
    9,362.38x = 69,566,338.90
  5. Step 5: Solve for x
    x = 69,566,338.90/9,362.38
  6. Step 6: Final answer
    x = 7,430.41

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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.