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Finding the Fourth Proportional to 9,077.49, 13,622.18 and 3,883.77

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Solution

The fourth proportional to 9,077.49, 13,622.18 and 3,883.77 is: 5,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.49 : 13,622.18 = 3,883.77 : x
  2. Step 2: Convert to fraction form
    9,077.49/13,622.18 = 3,883.77/x
  3. Step 3: Cross multiply
    9,077.49x = 13,622.18 × 3,883.77
  4. Step 4: Simplify right side
    9,077.49x = 52,905,394.60
  5. Step 5: Solve for x
    x = 52,905,394.60/9,077.49
  6. Step 6: Final answer
    x = 5,828.20

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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.