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Finding the Fourth Proportional to 9,510, 14,273.82 and 4,833.33

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Solution

The fourth proportional to 9,510, 14,273.82 and 4,833.33 is: 7,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510 : 14,273.82 = 4,833.33 : x
  2. Step 2: Convert to fraction form
    9,510/14,273.82 = 4,833.33/x
  3. Step 3: Cross multiply
    9,510x = 14,273.82 × 4,833.33
  4. Step 4: Simplify right side
    9,510x = 68,990,082.42
  5. Step 5: Solve for x
    x = 68,990,082.42/9,510
  6. Step 6: Final answer
    x = 7,254.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.