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Finding the Fourth Proportional to 9,771.24, 14,651.22 and 8,603.58

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Solution

The fourth proportional to 9,771.24, 14,651.22 and 8,603.58 is: 12,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.24 : 14,651.22 = 8,603.58 : x
  2. Step 2: Convert to fraction form
    9,771.24/14,651.22 = 8,603.58/x
  3. Step 3: Cross multiply
    9,771.24x = 14,651.22 × 8,603.58
  4. Step 4: Simplify right side
    9,771.24x = 126,052,943.37
  5. Step 5: Solve for x
    x = 126,052,943.37/9,771.24
  6. Step 6: Final answer
    x = 12,900.40

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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.