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Finding the Fourth Proportional to 9,178.11, 13,785.39 and 7,861.35

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Solution

The fourth proportional to 9,178.11, 13,785.39 and 7,861.35 is: 11,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.11 : 13,785.39 = 7,861.35 : x
  2. Step 2: Convert to fraction form
    9,178.11/13,785.39 = 7,861.35/x
  3. Step 3: Cross multiply
    9,178.11x = 13,785.39 × 7,861.35
  4. Step 4: Simplify right side
    9,178.11x = 108,371,827.37
  5. Step 5: Solve for x
    x = 108,371,827.37/9,178.11
  6. Step 6: Final answer
    x = 11,807.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.