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Finding the Fourth Proportional to 9,674.30, 14,486.81 and 6,377.40

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Solution

The fourth proportional to 9,674.30, 14,486.81 and 6,377.40 is: 9,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.30 : 14,486.81 = 6,377.40 : x
  2. Step 2: Convert to fraction form
    9,674.30/14,486.81 = 6,377.40/x
  3. Step 3: Cross multiply
    9,674.30x = 14,486.81 × 6,377.40
  4. Step 4: Simplify right side
    9,674.30x = 92,388,150.21
  5. Step 5: Solve for x
    x = 92,388,150.21/9,674.30
  6. Step 6: Final answer
    x = 9,549.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.