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Finding the Fourth Proportional to 9,754.64, 14,632.04 and 3,180.68

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Solution

The fourth proportional to 9,754.64, 14,632.04 and 3,180.68 is: 4,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.64 : 14,632.04 = 3,180.68 : x
  2. Step 2: Convert to fraction form
    9,754.64/14,632.04 = 3,180.68/x
  3. Step 3: Cross multiply
    9,754.64x = 14,632.04 × 3,180.68
  4. Step 4: Simplify right side
    9,754.64x = 46,539,836.99
  5. Step 5: Solve for x
    x = 46,539,836.99/9,754.64
  6. Step 6: Final answer
    x = 4,771.05

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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.