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Finding the Fourth Proportional to 9,454.71, 14,182.86 and 2,880.95

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Solution

The fourth proportional to 9,454.71, 14,182.86 and 2,880.95 is: 4,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.71 : 14,182.86 = 2,880.95 : x
  2. Step 2: Convert to fraction form
    9,454.71/14,182.86 = 2,880.95/x
  3. Step 3: Cross multiply
    9,454.71x = 14,182.86 × 2,880.95
  4. Step 4: Simplify right side
    9,454.71x = 40,860,039.60
  5. Step 5: Solve for x
    x = 40,860,039.60/9,454.71
  6. Step 6: Final answer
    x = 4,321.66

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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.