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Finding the Fourth Proportional to 9,893.98, 14,842.78 and 4,967.02

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Solution

The fourth proportional to 9,893.98, 14,842.78 and 4,967.02 is: 7,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.98 : 14,842.78 = 4,967.02 : x
  2. Step 2: Convert to fraction form
    9,893.98/14,842.78 = 4,967.02/x
  3. Step 3: Cross multiply
    9,893.98x = 14,842.78 × 4,967.02
  4. Step 4: Simplify right side
    9,893.98x = 73,724,385.12
  5. Step 5: Solve for x
    x = 73,724,385.12/9,893.98
  6. Step 6: Final answer
    x = 7,451.44

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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.