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Finding the Fourth Proportional to 9,551.88, 13,178.43 and 5,776.20

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Solution

The fourth proportional to 9,551.88, 13,178.43 and 5,776.20 is: 7,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.88 : 13,178.43 = 5,776.20 : x
  2. Step 2: Convert to fraction form
    9,551.88/13,178.43 = 5,776.20/x
  3. Step 3: Cross multiply
    9,551.88x = 13,178.43 × 5,776.20
  4. Step 4: Simplify right side
    9,551.88x = 76,121,247.37
  5. Step 5: Solve for x
    x = 76,121,247.37/9,551.88
  6. Step 6: Final answer
    x = 7,969.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.