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Finding the Fourth Proportional to 9,220.95, 13,832.88 and 4,777.23

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Solution

The fourth proportional to 9,220.95, 13,832.88 and 4,777.23 is: 7,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.95 : 13,832.88 = 4,777.23 : x
  2. Step 2: Convert to fraction form
    9,220.95/13,832.88 = 4,777.23/x
  3. Step 3: Cross multiply
    9,220.95x = 13,832.88 × 4,777.23
  4. Step 4: Simplify right side
    9,220.95x = 66,082,849.32
  5. Step 5: Solve for x
    x = 66,082,849.32/9,220.95
  6. Step 6: Final answer
    x = 7,166.60

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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.