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Finding the Fourth Proportional to 9,874.95, 14,815.00 and 3,301.19

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Solution

The fourth proportional to 9,874.95, 14,815.00 and 3,301.19 is: 4,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.95 : 14,815.00 = 3,301.19 : x
  2. Step 2: Convert to fraction form
    9,874.95/14,815.00 = 3,301.19/x
  3. Step 3: Cross multiply
    9,874.95x = 14,815.00 × 3,301.19
  4. Step 4: Simplify right side
    9,874.95x = 48,907,115.46
  5. Step 5: Solve for x
    x = 48,907,115.46/9,874.95
  6. Step 6: Final answer
    x = 4,952.65

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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.