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Finding the Fourth Proportional to 9,077.70, 13,623.30 and 4,692.90

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Solution

The fourth proportional to 9,077.70, 13,623.30 and 4,692.90 is: 7,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.70 : 13,623.30 = 4,692.90 : x
  2. Step 2: Convert to fraction form
    9,077.70/13,623.30 = 4,692.90/x
  3. Step 3: Cross multiply
    9,077.70x = 13,623.30 × 4,692.90
  4. Step 4: Simplify right side
    9,077.70x = 63,932,784.57
  5. Step 5: Solve for x
    x = 63,932,784.57/9,077.70
  6. Step 6: Final answer
    x = 7,042.84

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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.