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Finding the Fourth Proportional to 6,274.26, 9,403.16 and 4,701.85

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Solution

The fourth proportional to 6,274.26, 9,403.16 and 4,701.85 is: 7,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.26 : 9,403.16 = 4,701.85 : x
  2. Step 2: Convert to fraction form
    6,274.26/9,403.16 = 4,701.85/x
  3. Step 3: Cross multiply
    6,274.26x = 9,403.16 × 4,701.85
  4. Step 4: Simplify right side
    6,274.26x = 44,212,200.83
  5. Step 5: Solve for x
    x = 44,212,200.83/6,274.26
  6. Step 6: Final answer
    x = 7,046.60

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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.