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Finding the Fourth Proportional to 9,178.24, 13,773 and 3,630.64

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Solution

The fourth proportional to 9,178.24, 13,773 and 3,630.64 is: 5,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.24 : 13,773 = 3,630.64 : x
  2. Step 2: Convert to fraction form
    9,178.24/13,773 = 3,630.64/x
  3. Step 3: Cross multiply
    9,178.24x = 13,773 × 3,630.64
  4. Step 4: Simplify right side
    9,178.24x = 50,004,804.72
  5. Step 5: Solve for x
    x = 50,004,804.72/9,178.24
  6. Step 6: Final answer
    x = 5,448.19

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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.