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Finding the Fourth Proportional to 9,801.84, 14,682.43 and 4,789.08

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Solution

The fourth proportional to 9,801.84, 14,682.43 and 4,789.08 is: 7,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.84 : 14,682.43 = 4,789.08 : x
  2. Step 2: Convert to fraction form
    9,801.84/14,682.43 = 4,789.08/x
  3. Step 3: Cross multiply
    9,801.84x = 14,682.43 × 4,789.08
  4. Step 4: Simplify right side
    9,801.84x = 70,315,319.89
  5. Step 5: Solve for x
    x = 70,315,319.89/9,801.84
  6. Step 6: Final answer
    x = 7,173.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.