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Finding the Fourth Proportional to 9,805.72, 14,710.24 and 4,546.02

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Solution

The fourth proportional to 9,805.72, 14,710.24 and 4,546.02 is: 6,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.72 : 14,710.24 = 4,546.02 : x
  2. Step 2: Convert to fraction form
    9,805.72/14,710.24 = 4,546.02/x
  3. Step 3: Cross multiply
    9,805.72x = 14,710.24 × 4,546.02
  4. Step 4: Simplify right side
    9,805.72x = 66,873,045.24
  5. Step 5: Solve for x
    x = 66,873,045.24/9,805.72
  6. Step 6: Final answer
    x = 6,819.80

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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.