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Finding the Fourth Proportional to 6,211.30, 9,317.06 and 1,531.32

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Solution

The fourth proportional to 6,211.30, 9,317.06 and 1,531.32 is: 2,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.30 : 9,317.06 = 1,531.32 : x
  2. Step 2: Convert to fraction form
    6,211.30/9,317.06 = 1,531.32/x
  3. Step 3: Cross multiply
    6,211.30x = 9,317.06 × 1,531.32
  4. Step 4: Simplify right side
    6,211.30x = 14,267,400.32
  5. Step 5: Solve for x
    x = 14,267,400.32/6,211.30
  6. Step 6: Final answer
    x = 2,297.01

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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.