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Finding the Fourth Proportional to 9,410.74, 12,986.89 and 6,426.50

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Solution

The fourth proportional to 9,410.74, 12,986.89 and 6,426.50 is: 8,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.74 : 12,986.89 = 6,426.50 : x
  2. Step 2: Convert to fraction form
    9,410.74/12,986.89 = 6,426.50/x
  3. Step 3: Cross multiply
    9,410.74x = 12,986.89 × 6,426.50
  4. Step 4: Simplify right side
    9,410.74x = 83,460,167.58
  5. Step 5: Solve for x
    x = 83,460,167.58/9,410.74
  6. Step 6: Final answer
    x = 8,868.61

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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.