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Finding the Fourth Proportional to 9,714.03, 14,568.63 and 4,166.75

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Solution

The fourth proportional to 9,714.03, 14,568.63 and 4,166.75 is: 6,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.03 : 14,568.63 = 4,166.75 : x
  2. Step 2: Convert to fraction form
    9,714.03/14,568.63 = 4,166.75/x
  3. Step 3: Cross multiply
    9,714.03x = 14,568.63 × 4,166.75
  4. Step 4: Simplify right side
    9,714.03x = 60,703,766.21
  5. Step 5: Solve for x
    x = 60,703,766.21/9,714.03
  6. Step 6: Final answer
    x = 6,249.08

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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.