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Finding the Fourth Proportional to 9,851.98, 14,770.29 and 4,919.14

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Solution

The fourth proportional to 9,851.98, 14,770.29 and 4,919.14 is: 7,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.98 : 14,770.29 = 4,919.14 : x
  2. Step 2: Convert to fraction form
    9,851.98/14,770.29 = 4,919.14/x
  3. Step 3: Cross multiply
    9,851.98x = 14,770.29 × 4,919.14
  4. Step 4: Simplify right side
    9,851.98x = 72,657,124.35
  5. Step 5: Solve for x
    x = 72,657,124.35/9,851.98
  6. Step 6: Final answer
    x = 7,374.88

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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.