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Finding the Fourth Proportional to 9,178.64, 12,666.03 and 5,199.67

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Solution

The fourth proportional to 9,178.64, 12,666.03 and 5,199.67 is: 7,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.64 : 12,666.03 = 5,199.67 : x
  2. Step 2: Convert to fraction form
    9,178.64/12,666.03 = 5,199.67/x
  3. Step 3: Cross multiply
    9,178.64x = 12,666.03 × 5,199.67
  4. Step 4: Simplify right side
    9,178.64x = 65,859,151.54
  5. Step 5: Solve for x
    x = 65,859,151.54/9,178.64
  6. Step 6: Final answer
    x = 7,175.26

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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.