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Finding the Fourth Proportional to 9,807.99, 14,703.69 and 4,257.14

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Solution

The fourth proportional to 9,807.99, 14,703.69 and 4,257.14 is: 6,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.99 : 14,703.69 = 4,257.14 : x
  2. Step 2: Convert to fraction form
    9,807.99/14,703.69 = 4,257.14/x
  3. Step 3: Cross multiply
    9,807.99x = 14,703.69 × 4,257.14
  4. Step 4: Simplify right side
    9,807.99x = 62,595,593.33
  5. Step 5: Solve for x
    x = 62,595,593.33/9,807.99
  6. Step 6: Final answer
    x = 6,382.10

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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.