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Finding the Fourth Proportional to 9,753, 14,626.45 and 3,178.23

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Solution

The fourth proportional to 9,753, 14,626.45 and 3,178.23 is: 4,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753 : 14,626.45 = 3,178.23 : x
  2. Step 2: Convert to fraction form
    9,753/14,626.45 = 3,178.23/x
  3. Step 3: Cross multiply
    9,753x = 14,626.45 × 3,178.23
  4. Step 4: Simplify right side
    9,753x = 46,486,222.18
  5. Step 5: Solve for x
    x = 46,486,222.18/9,753
  6. Step 6: Final answer
    x = 4,766.35

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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.