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Finding the Fourth Proportional to 9,805.14, 14,710.19 and 2,879.64

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Solution

The fourth proportional to 9,805.14, 14,710.19 and 2,879.64 is: 4,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.14 : 14,710.19 = 2,879.64 : x
  2. Step 2: Convert to fraction form
    9,805.14/14,710.19 = 2,879.64/x
  3. Step 3: Cross multiply
    9,805.14x = 14,710.19 × 2,879.64
  4. Step 4: Simplify right side
    9,805.14x = 42,360,037.13
  5. Step 5: Solve for x
    x = 42,360,037.13/9,805.14
  6. Step 6: Final answer
    x = 4,320.19

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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.