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Finding the Fourth Proportional to 9,806.76, 14,701.62 and 4,873.86

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Solution

The fourth proportional to 9,806.76, 14,701.62 and 4,873.86 is: 7,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.76 : 14,701.62 = 4,873.86 : x
  2. Step 2: Convert to fraction form
    9,806.76/14,701.62 = 4,873.86/x
  3. Step 3: Cross multiply
    9,806.76x = 14,701.62 × 4,873.86
  4. Step 4: Simplify right side
    9,806.76x = 71,653,637.65
  5. Step 5: Solve for x
    x = 71,653,637.65/9,806.76
  6. Step 6: Final answer
    x = 7,306.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.