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Finding the Fourth Proportional to 9,632.84, 14,449.77 and 3,059.54

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Solution

The fourth proportional to 9,632.84, 14,449.77 and 3,059.54 is: 4,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.84 : 14,449.77 = 3,059.54 : x
  2. Step 2: Convert to fraction form
    9,632.84/14,449.77 = 3,059.54/x
  3. Step 3: Cross multiply
    9,632.84x = 14,449.77 × 3,059.54
  4. Step 4: Simplify right side
    9,632.84x = 44,209,670.13
  5. Step 5: Solve for x
    x = 44,209,670.13/9,632.84
  6. Step 6: Final answer
    x = 4,589.47

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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.