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Finding the Fourth Proportional to 9,805.14, 14,703.10 and 3,560.78

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Solution

The fourth proportional to 9,805.14, 14,703.10 and 3,560.78 is: 5,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.14 : 14,703.10 = 3,560.78 : x
  2. Step 2: Convert to fraction form
    9,805.14/14,703.10 = 3,560.78/x
  3. Step 3: Cross multiply
    9,805.14x = 14,703.10 × 3,560.78
  4. Step 4: Simplify right side
    9,805.14x = 52,354,532.27
  5. Step 5: Solve for x
    x = 52,354,532.27/9,805.14
  6. Step 6: Final answer
    x = 5,339.50

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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.