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Finding the Fourth Proportional to 9,806.70, 13,537.08 and 6,271.86

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Solution

The fourth proportional to 9,806.70, 13,537.08 and 6,271.86 is: 8,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.70 : 13,537.08 = 6,271.86 : x
  2. Step 2: Convert to fraction form
    9,806.70/13,537.08 = 6,271.86/x
  3. Step 3: Cross multiply
    9,806.70x = 13,537.08 × 6,271.86
  4. Step 4: Simplify right side
    9,806.70x = 84,902,670.57
  5. Step 5: Solve for x
    x = 84,902,670.57/9,806.70
  6. Step 6: Final answer
    x = 8,657.62

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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.