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Finding the Fourth Proportional to 9,178.34, 12,666.04 and 5,200.22

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Solution

The fourth proportional to 9,178.34, 12,666.04 and 5,200.22 is: 7,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.34 : 12,666.04 = 5,200.22 : x
  2. Step 2: Convert to fraction form
    9,178.34/12,666.04 = 5,200.22/x
  3. Step 3: Cross multiply
    9,178.34x = 12,666.04 × 5,200.22
  4. Step 4: Simplify right side
    9,178.34x = 65,866,213.19
  5. Step 5: Solve for x
    x = 65,866,213.19/9,178.34
  6. Step 6: Final answer
    x = 7,176.27

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