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Finding the Fourth Proportional to 9,087.60, 13,631.40 and 5,977.20

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Solution

The fourth proportional to 9,087.60, 13,631.40 and 5,977.20 is: 8,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.60 : 13,631.40 = 5,977.20 : x
  2. Step 2: Convert to fraction form
    9,087.60/13,631.40 = 5,977.20/x
  3. Step 3: Cross multiply
    9,087.60x = 13,631.40 × 5,977.20
  4. Step 4: Simplify right side
    9,087.60x = 81,477,604.08
  5. Step 5: Solve for x
    x = 81,477,604.08/9,087.60
  6. Step 6: Final answer
    x = 8,965.80

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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.