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Finding the Fourth Proportional to 9,178.11, 12,666.56 and 5,199.93

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Solution

The fourth proportional to 9,178.11, 12,666.56 and 5,199.93 is: 7,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.11 : 12,666.56 = 5,199.93 : x
  2. Step 2: Convert to fraction form
    9,178.11/12,666.56 = 5,199.93/x
  3. Step 3: Cross multiply
    9,178.11x = 12,666.56 × 5,199.93
  4. Step 4: Simplify right side
    9,178.11x = 65,865,199.34
  5. Step 5: Solve for x
    x = 65,865,199.34/9,178.11
  6. Step 6: Final answer
    x = 7,176.34

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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.