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Finding the Fourth Proportional to 6,374.25, 8,794 and 4,699.63

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Solution

The fourth proportional to 6,374.25, 8,794 and 4,699.63 is: 6,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.25 : 8,794 = 4,699.63 : x
  2. Step 2: Convert to fraction form
    6,374.25/8,794 = 4,699.63/x
  3. Step 3: Cross multiply
    6,374.25x = 8,794 × 4,699.63
  4. Step 4: Simplify right side
    6,374.25x = 41,328,546.22
  5. Step 5: Solve for x
    x = 41,328,546.22/6,374.25
  6. Step 6: Final answer
    x = 6,483.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.