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Finding the Fourth Proportional to 9,146.01, 12,621.87 and 5,563.38

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Solution

The fourth proportional to 9,146.01, 12,621.87 and 5,563.38 is: 7,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.01 : 12,621.87 = 5,563.38 : x
  2. Step 2: Convert to fraction form
    9,146.01/12,621.87 = 5,563.38/x
  3. Step 3: Cross multiply
    9,146.01x = 12,621.87 × 5,563.38
  4. Step 4: Simplify right side
    9,146.01x = 70,220,259.12
  5. Step 5: Solve for x
    x = 70,220,259.12/9,146.01
  6. Step 6: Final answer
    x = 7,677.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.