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Finding the Fourth Proportional to 9,776.03, 14,665.86 and 3,202.61

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Solution

The fourth proportional to 9,776.03, 14,665.86 and 3,202.61 is: 4,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.03 : 14,665.86 = 3,202.61 : x
  2. Step 2: Convert to fraction form
    9,776.03/14,665.86 = 3,202.61/x
  3. Step 3: Cross multiply
    9,776.03x = 14,665.86 × 3,202.61
  4. Step 4: Simplify right side
    9,776.03x = 46,968,956.57
  5. Step 5: Solve for x
    x = 46,968,956.57/9,776.03
  6. Step 6: Final answer
    x = 4,804.50

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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.