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Finding the Fourth Proportional to 9,754.11, 14,632.69 and 3,178.77

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Solution

The fourth proportional to 9,754.11, 14,632.69 and 3,178.77 is: 4,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.11 : 14,632.69 = 3,178.77 : x
  2. Step 2: Convert to fraction form
    9,754.11/14,632.69 = 3,178.77/x
  3. Step 3: Cross multiply
    9,754.11x = 14,632.69 × 3,178.77
  4. Step 4: Simplify right side
    9,754.11x = 46,513,984.63
  5. Step 5: Solve for x
    x = 46,513,984.63/9,754.11
  6. Step 6: Final answer
    x = 4,768.66

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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.