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Finding the Fourth Proportional to 9,700.86, 14,551.32 and 3,857.44

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Solution

The fourth proportional to 9,700.86, 14,551.32 and 3,857.44 is: 5,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.86 : 14,551.32 = 3,857.44 : x
  2. Step 2: Convert to fraction form
    9,700.86/14,551.32 = 3,857.44/x
  3. Step 3: Cross multiply
    9,700.86x = 14,551.32 × 3,857.44
  4. Step 4: Simplify right side
    9,700.86x = 56,130,843.82
  5. Step 5: Solve for x
    x = 56,130,843.82/9,700.86
  6. Step 6: Final answer
    x = 5,786.17

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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.