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Finding the Fourth Proportional to 9,379.64, 14,069.46 and 2,454.12

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Solution

The fourth proportional to 9,379.64, 14,069.46 and 2,454.12 is: 3,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.64 : 14,069.46 = 2,454.12 : x
  2. Step 2: Convert to fraction form
    9,379.64/14,069.46 = 2,454.12/x
  3. Step 3: Cross multiply
    9,379.64x = 14,069.46 × 2,454.12
  4. Step 4: Simplify right side
    9,379.64x = 34,528,143.18
  5. Step 5: Solve for x
    x = 34,528,143.18/9,379.64
  6. Step 6: Final answer
    x = 3,681.18

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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.