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Finding the Fourth Proportional to 6,430.83, 9,639.64 and 4,092.58

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Solution

The fourth proportional to 6,430.83, 9,639.64 and 4,092.58 is: 6,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.83 : 9,639.64 = 4,092.58 : x
  2. Step 2: Convert to fraction form
    6,430.83/9,639.64 = 4,092.58/x
  3. Step 3: Cross multiply
    6,430.83x = 9,639.64 × 4,092.58
  4. Step 4: Simplify right side
    6,430.83x = 39,450,997.87
  5. Step 5: Solve for x
    x = 39,450,997.87/6,430.83
  6. Step 6: Final answer
    x = 6,134.67

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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.