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Finding the Fourth Proportional to 9,805.35, 14,699.12 and 3,957.96

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Solution

The fourth proportional to 9,805.35, 14,699.12 and 3,957.96 is: 5,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.35 : 14,699.12 = 3,957.96 : x
  2. Step 2: Convert to fraction form
    9,805.35/14,699.12 = 3,957.96/x
  3. Step 3: Cross multiply
    9,805.35x = 14,699.12 × 3,957.96
  4. Step 4: Simplify right side
    9,805.35x = 58,178,509.21
  5. Step 5: Solve for x
    x = 58,178,509.21/9,805.35
  6. Step 6: Final answer
    x = 5,933.34

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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.