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Finding the Fourth Proportional to 8,314.60, 11,478.40 and 6,421.94

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Solution

The fourth proportional to 8,314.60, 11,478.40 and 6,421.94 is: 8,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.60 : 11,478.40 = 6,421.94 : x
  2. Step 2: Convert to fraction form
    8,314.60/11,478.40 = 6,421.94/x
  3. Step 3: Cross multiply
    8,314.60x = 11,478.40 × 6,421.94
  4. Step 4: Simplify right side
    8,314.60x = 73,713,596.10
  5. Step 5: Solve for x
    x = 73,713,596.10/8,314.60
  6. Step 6: Final answer
    x = 8,865.56

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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.