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Finding the Fourth Proportional to 9,837.86, 14,744.84 and 4,565.70

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Solution

The fourth proportional to 9,837.86, 14,744.84 and 4,565.70 is: 6,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.86 : 14,744.84 = 4,565.70 : x
  2. Step 2: Convert to fraction form
    9,837.86/14,744.84 = 4,565.70/x
  3. Step 3: Cross multiply
    9,837.86x = 14,744.84 × 4,565.70
  4. Step 4: Simplify right side
    9,837.86x = 67,320,493.16
  5. Step 5: Solve for x
    x = 67,320,493.16/9,837.86
  6. Step 6: Final answer
    x = 6,843.01

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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.