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Finding the Fourth Proportional to 9,577, 14,371.20 and 4,383.28

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Solution

The fourth proportional to 9,577, 14,371.20 and 4,383.28 is: 6,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577 : 14,371.20 = 4,383.28 : x
  2. Step 2: Convert to fraction form
    9,577/14,371.20 = 4,383.28/x
  3. Step 3: Cross multiply
    9,577x = 14,371.20 × 4,383.28
  4. Step 4: Simplify right side
    9,577x = 62,992,993.54
  5. Step 5: Solve for x
    x = 62,992,993.54/9,577
  6. Step 6: Final answer
    x = 6,577.53

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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.