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Finding the Fourth Proportional to 9,760.44, 14,634.63 and 4,752.84

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Solution

The fourth proportional to 9,760.44, 14,634.63 and 4,752.84 is: 7,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.44 : 14,634.63 = 4,752.84 : x
  2. Step 2: Convert to fraction form
    9,760.44/14,634.63 = 4,752.84/x
  3. Step 3: Cross multiply
    9,760.44x = 14,634.63 × 4,752.84
  4. Step 4: Simplify right side
    9,760.44x = 69,556,054.85
  5. Step 5: Solve for x
    x = 69,556,054.85/9,760.44
  6. Step 6: Final answer
    x = 7,126.32

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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.