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Finding the Fourth Proportional to 9,922.89, 14,882.63 and 2,807.63

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Solution

The fourth proportional to 9,922.89, 14,882.63 and 2,807.63 is: 4,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.89 : 14,882.63 = 2,807.63 : x
  2. Step 2: Convert to fraction form
    9,922.89/14,882.63 = 2,807.63/x
  3. Step 3: Cross multiply
    9,922.89x = 14,882.63 × 2,807.63
  4. Step 4: Simplify right side
    9,922.89x = 41,784,830.02
  5. Step 5: Solve for x
    x = 41,784,830.02/9,922.89
  6. Step 6: Final answer
    x = 4,210.95

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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.