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Finding the Fourth Proportional to 8,969.50, 12,368.55 and 5,431.42

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Solution

The fourth proportional to 8,969.50, 12,368.55 and 5,431.42 is: 7,489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.50 : 12,368.55 = 5,431.42 : x
  2. Step 2: Convert to fraction form
    8,969.50/12,368.55 = 5,431.42/x
  3. Step 3: Cross multiply
    8,969.50x = 12,368.55 × 5,431.42
  4. Step 4: Simplify right side
    8,969.50x = 67,178,789.84
  5. Step 5: Solve for x
    x = 67,178,789.84/8,969.50
  6. Step 6: Final answer
    x = 7,489.69

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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.