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Finding the Fourth Proportional to 9,220.50, 13,830.75 and 3,064.50

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Solution

The fourth proportional to 9,220.50, 13,830.75 and 3,064.50 is: 4,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.50 : 13,830.75 = 3,064.50 : x
  2. Step 2: Convert to fraction form
    9,220.50/13,830.75 = 3,064.50/x
  3. Step 3: Cross multiply
    9,220.50x = 13,830.75 × 3,064.50
  4. Step 4: Simplify right side
    9,220.50x = 42,384,333.38
  5. Step 5: Solve for x
    x = 42,384,333.38/9,220.50
  6. Step 6: Final answer
    x = 4,596.75

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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.