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Finding the Fourth Proportional to 9,658.50, 13,330 and 5,466.76

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Solution

The fourth proportional to 9,658.50, 13,330 and 5,466.76 is: 7,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.50 : 13,330 = 5,466.76 : x
  2. Step 2: Convert to fraction form
    9,658.50/13,330 = 5,466.76/x
  3. Step 3: Cross multiply
    9,658.50x = 13,330 × 5,466.76
  4. Step 4: Simplify right side
    9,658.50x = 72,871,910.80
  5. Step 5: Solve for x
    x = 72,871,910.80/9,658.50
  6. Step 6: Final answer
    x = 7,544.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.