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Finding the Fourth Proportional to 9,616.95, 14,415.56 and 3,692.24

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Solution

The fourth proportional to 9,616.95, 14,415.56 and 3,692.24 is: 5,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.95 : 14,415.56 = 3,692.24 : x
  2. Step 2: Convert to fraction form
    9,616.95/14,415.56 = 3,692.24/x
  3. Step 3: Cross multiply
    9,616.95x = 14,415.56 × 3,692.24
  4. Step 4: Simplify right side
    9,616.95x = 53,225,616.72
  5. Step 5: Solve for x
    x = 53,225,616.72/9,616.95
  6. Step 6: Final answer
    x = 5,534.56

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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.