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Finding the Fourth Proportional to 9,784.08, 14,710.14 and 7,849.80

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Solution

The fourth proportional to 9,784.08, 14,710.14 and 7,849.80 is: 11,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.08 : 14,710.14 = 7,849.80 : x
  2. Step 2: Convert to fraction form
    9,784.08/14,710.14 = 7,849.80/x
  3. Step 3: Cross multiply
    9,784.08x = 14,710.14 × 7,849.80
  4. Step 4: Simplify right side
    9,784.08x = 115,471,656.97
  5. Step 5: Solve for x
    x = 115,471,656.97/9,784.08
  6. Step 6: Final answer
    x = 11,801.99

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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.