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Finding the Fourth Proportional to 9,577.77, 14,366.60 and 2,462.00

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Solution

The fourth proportional to 9,577.77, 14,366.60 and 2,462.00 is: 3,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.77 : 14,366.60 = 2,462.00 : x
  2. Step 2: Convert to fraction form
    9,577.77/14,366.60 = 2,462.00/x
  3. Step 3: Cross multiply
    9,577.77x = 14,366.60 × 2,462.00
  4. Step 4: Simplify right side
    9,577.77x = 35,370,497.37
  5. Step 5: Solve for x
    x = 35,370,497.37/9,577.77
  6. Step 6: Final answer
    x = 3,692.98

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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.