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Finding the Fourth Proportional to 9,851.02, 14,763.78 and 4,000.84

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Solution

The fourth proportional to 9,851.02, 14,763.78 and 4,000.84 is: 5,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.02 : 14,763.78 = 4,000.84 : x
  2. Step 2: Convert to fraction form
    9,851.02/14,763.78 = 4,000.84/x
  3. Step 3: Cross multiply
    9,851.02x = 14,763.78 × 4,000.84
  4. Step 4: Simplify right side
    9,851.02x = 59,067,521.58
  5. Step 5: Solve for x
    x = 59,067,521.58/9,851.02
  6. Step 6: Final answer
    x = 5,996.08

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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.