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Finding the Fourth Proportional to 9,178.41, 12,666.24 and 5,200.26

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Solution

The fourth proportional to 9,178.41, 12,666.24 and 5,200.26 is: 7,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.41 : 12,666.24 = 5,200.26 : x
  2. Step 2: Convert to fraction form
    9,178.41/12,666.24 = 5,200.26/x
  3. Step 3: Cross multiply
    9,178.41x = 12,666.24 × 5,200.26
  4. Step 4: Simplify right side
    9,178.41x = 65,867,741.22
  5. Step 5: Solve for x
    x = 65,867,741.22/9,178.41
  6. Step 6: Final answer
    x = 7,176.38

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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.