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Finding the Fourth Proportional to 9,651.55, 14,476.11 and 3,078.40

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Solution

The fourth proportional to 9,651.55, 14,476.11 and 3,078.40 is: 4,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.55 : 14,476.11 = 3,078.40 : x
  2. Step 2: Convert to fraction form
    9,651.55/14,476.11 = 3,078.40/x
  3. Step 3: Cross multiply
    9,651.55x = 14,476.11 × 3,078.40
  4. Step 4: Simplify right side
    9,651.55x = 44,563,257.02
  5. Step 5: Solve for x
    x = 44,563,257.02/9,651.55
  6. Step 6: Final answer
    x = 4,617.21

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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.