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Finding the Fourth Proportional to 9,803.75, 14,703.84 and 2,876.63

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Solution

The fourth proportional to 9,803.75, 14,703.84 and 2,876.63 is: 4,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.75 : 14,703.84 = 2,876.63 : x
  2. Step 2: Convert to fraction form
    9,803.75/14,703.84 = 2,876.63/x
  3. Step 3: Cross multiply
    9,803.75x = 14,703.84 × 2,876.63
  4. Step 4: Simplify right side
    9,803.75x = 42,297,433.74
  5. Step 5: Solve for x
    x = 42,297,433.74/9,803.75
  6. Step 6: Final answer
    x = 4,314.42

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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.