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Finding the Fourth Proportional to 9,430.90, 14,134.20 and 5,729.20

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Solution

The fourth proportional to 9,430.90, 14,134.20 and 5,729.20 is: 8,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.90 : 14,134.20 = 5,729.20 : x
  2. Step 2: Convert to fraction form
    9,430.90/14,134.20 = 5,729.20/x
  3. Step 3: Cross multiply
    9,430.90x = 14,134.20 × 5,729.20
  4. Step 4: Simplify right side
    9,430.90x = 80,977,658.64
  5. Step 5: Solve for x
    x = 80,977,658.64/9,430.90
  6. Step 6: Final answer
    x = 8,586.42

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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.