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Finding the Fourth Proportional to 6,285.50, 9,429.60 and 2,125.62

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Solution

The fourth proportional to 6,285.50, 9,429.60 and 2,125.62 is: 3,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.50 : 9,429.60 = 2,125.62 : x
  2. Step 2: Convert to fraction form
    6,285.50/9,429.60 = 2,125.62/x
  3. Step 3: Cross multiply
    6,285.50x = 9,429.60 × 2,125.62
  4. Step 4: Simplify right side
    6,285.50x = 20,043,746.35
  5. Step 5: Solve for x
    x = 20,043,746.35/6,285.50
  6. Step 6: Final answer
    x = 3,188.89

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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.