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Finding the Fourth Proportional to 9,776.04, 14,666.34 and 3,201.83

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Solution

The fourth proportional to 9,776.04, 14,666.34 and 3,201.83 is: 4,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.04 : 14,666.34 = 3,201.83 : x
  2. Step 2: Convert to fraction form
    9,776.04/14,666.34 = 3,201.83/x
  3. Step 3: Cross multiply
    9,776.04x = 14,666.34 × 3,201.83
  4. Step 4: Simplify right side
    9,776.04x = 46,959,112.07
  5. Step 5: Solve for x
    x = 46,959,112.07/9,776.04
  6. Step 6: Final answer
    x = 4,803.49

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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.