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Finding the Fourth Proportional to 9,184.81, 12,677.90 and 5,407.67

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Solution

The fourth proportional to 9,184.81, 12,677.90 and 5,407.67 is: 7,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.81 : 12,677.90 = 5,407.67 : x
  2. Step 2: Convert to fraction form
    9,184.81/12,677.90 = 5,407.67/x
  3. Step 3: Cross multiply
    9,184.81x = 12,677.90 × 5,407.67
  4. Step 4: Simplify right side
    9,184.81x = 68,557,899.49
  5. Step 5: Solve for x
    x = 68,557,899.49/9,184.81
  6. Step 6: Final answer
    x = 7,464.27

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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.