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Finding the Fourth Proportional to 6,284.70, 9,427.05 and 4,211.10

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Solution

The fourth proportional to 6,284.70, 9,427.05 and 4,211.10 is: 6,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.70 : 9,427.05 = 4,211.10 : x
  2. Step 2: Convert to fraction form
    6,284.70/9,427.05 = 4,211.10/x
  3. Step 3: Cross multiply
    6,284.70x = 9,427.05 × 4,211.10
  4. Step 4: Simplify right side
    6,284.70x = 39,698,250.26
  5. Step 5: Solve for x
    x = 39,698,250.26/6,284.70
  6. Step 6: Final answer
    x = 6,316.65

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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.