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Finding the Fourth Proportional to 9,339.94, 12,871.40 and 6,682.74

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Solution

The fourth proportional to 9,339.94, 12,871.40 and 6,682.74 is: 9,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.94 : 12,871.40 = 6,682.74 : x
  2. Step 2: Convert to fraction form
    9,339.94/12,871.40 = 6,682.74/x
  3. Step 3: Cross multiply
    9,339.94x = 12,871.40 × 6,682.74
  4. Step 4: Simplify right side
    9,339.94x = 86,016,219.64
  5. Step 5: Solve for x
    x = 86,016,219.64/9,339.94
  6. Step 6: Final answer
    x = 9,209.50

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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.