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Finding the Fourth Proportional to 9,430.20, 14,123.70 and 5,542.20

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Solution

The fourth proportional to 9,430.20, 14,123.70 and 5,542.20 is: 8,300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.20 : 14,123.70 = 5,542.20 : x
  2. Step 2: Convert to fraction form
    9,430.20/14,123.70 = 5,542.20/x
  3. Step 3: Cross multiply
    9,430.20x = 14,123.70 × 5,542.20
  4. Step 4: Simplify right side
    9,430.20x = 78,276,370.14
  5. Step 5: Solve for x
    x = 78,276,370.14/9,430.20
  6. Step 6: Final answer
    x = 8,300.61

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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.