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Finding the Fourth Proportional to 6,285.96, 9,420 and 4,629.48

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Solution

The fourth proportional to 6,285.96, 9,420 and 4,629.48 is: 6,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.96 : 9,420 = 4,629.48 : x
  2. Step 2: Convert to fraction form
    6,285.96/9,420 = 4,629.48/x
  3. Step 3: Cross multiply
    6,285.96x = 9,420 × 4,629.48
  4. Step 4: Simplify right side
    6,285.96x = 43,609,701.60
  5. Step 5: Solve for x
    x = 43,609,701.60/6,285.96
  6. Step 6: Final answer
    x = 6,937.64

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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.