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Finding the Fourth Proportional to 6,531.22, 9,784.50 and 5,063.18

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Solution

The fourth proportional to 6,531.22, 9,784.50 and 5,063.18 is: 7,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.22 : 9,784.50 = 5,063.18 : x
  2. Step 2: Convert to fraction form
    6,531.22/9,784.50 = 5,063.18/x
  3. Step 3: Cross multiply
    6,531.22x = 9,784.50 × 5,063.18
  4. Step 4: Simplify right side
    6,531.22x = 49,540,684.71
  5. Step 5: Solve for x
    x = 49,540,684.71/6,531.22
  6. Step 6: Final answer
    x = 7,585.21

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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.