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Finding the Fourth Proportional to 9,194.11, 12,670.63 and 6,536.90

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Solution

The fourth proportional to 9,194.11, 12,670.63 and 6,536.90 is: 9,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.11 : 12,670.63 = 6,536.90 : x
  2. Step 2: Convert to fraction form
    9,194.11/12,670.63 = 6,536.90/x
  3. Step 3: Cross multiply
    9,194.11x = 12,670.63 × 6,536.90
  4. Step 4: Simplify right side
    9,194.11x = 82,826,656.58
  5. Step 5: Solve for x
    x = 82,826,656.58/9,194.11
  6. Step 6: Final answer
    x = 9,008.67

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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.