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Finding the Fourth Proportional to 9,848.83, 14,773.45 and 5,494

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Solution

The fourth proportional to 9,848.83, 14,773.45 and 5,494 is: 8,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.83 : 14,773.45 = 5,494 : x
  2. Step 2: Convert to fraction form
    9,848.83/14,773.45 = 5,494/x
  3. Step 3: Cross multiply
    9,848.83x = 14,773.45 × 5,494
  4. Step 4: Simplify right side
    9,848.83x = 81,165,334.30
  5. Step 5: Solve for x
    x = 81,165,334.30/9,848.83
  6. Step 6: Final answer
    x = 8,241.11

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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.