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Finding the Fourth Proportional to 6,537.65, 9,806.47 and 2,376.88

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Solution

The fourth proportional to 6,537.65, 9,806.47 and 2,376.88 is: 3,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.65 : 9,806.47 = 2,376.88 : x
  2. Step 2: Convert to fraction form
    6,537.65/9,806.47 = 2,376.88/x
  3. Step 3: Cross multiply
    6,537.65x = 9,806.47 × 2,376.88
  4. Step 4: Simplify right side
    6,537.65x = 23,308,771.96
  5. Step 5: Solve for x
    x = 23,308,771.96/6,537.65
  6. Step 6: Final answer
    x = 3,565.32

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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.