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Finding the Fourth Proportional to 6,570.90, 9,847.35 and 4,223.70

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Solution

The fourth proportional to 6,570.90, 9,847.35 and 4,223.70 is: 6,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.90 : 9,847.35 = 4,223.70 : x
  2. Step 2: Convert to fraction form
    6,570.90/9,847.35 = 4,223.70/x
  3. Step 3: Cross multiply
    6,570.90x = 9,847.35 × 4,223.70
  4. Step 4: Simplify right side
    6,570.90x = 41,592,252.20
  5. Step 5: Solve for x
    x = 41,592,252.20/6,570.90
  6. Step 6: Final answer
    x = 6,329.76

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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.