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Finding the Fourth Proportional to 9,774.16, 14,658.24 and 3,533.41

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Solution

The fourth proportional to 9,774.16, 14,658.24 and 3,533.41 is: 5,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.16 : 14,658.24 = 3,533.41 : x
  2. Step 2: Convert to fraction form
    9,774.16/14,658.24 = 3,533.41/x
  3. Step 3: Cross multiply
    9,774.16x = 14,658.24 × 3,533.41
  4. Step 4: Simplify right side
    9,774.16x = 51,793,571.80
  5. Step 5: Solve for x
    x = 51,793,571.80/9,774.16
  6. Step 6: Final answer
    x = 5,299.03

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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.