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Finding the Fourth Proportional to 9,244.50, 12,763.06 and 6,017.38

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Solution

The fourth proportional to 9,244.50, 12,763.06 and 6,017.38 is: 8,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.50 : 12,763.06 = 6,017.38 : x
  2. Step 2: Convert to fraction form
    9,244.50/12,763.06 = 6,017.38/x
  3. Step 3: Cross multiply
    9,244.50x = 12,763.06 × 6,017.38
  4. Step 4: Simplify right side
    9,244.50x = 76,800,181.98
  5. Step 5: Solve for x
    x = 76,800,181.98/9,244.50
  6. Step 6: Final answer
    x = 8,307.66

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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.