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Finding the Fourth Proportional to 9,410, 14,118.84 and 3,568.40

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Solution

The fourth proportional to 9,410, 14,118.84 and 3,568.40 is: 5,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410 : 14,118.84 = 3,568.40 : x
  2. Step 2: Convert to fraction form
    9,410/14,118.84 = 3,568.40/x
  3. Step 3: Cross multiply
    9,410x = 14,118.84 × 3,568.40
  4. Step 4: Simplify right side
    9,410x = 50,381,668.66
  5. Step 5: Solve for x
    x = 50,381,668.66/9,410
  6. Step 6: Final answer
    x = 5,354.06

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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.