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Finding the Fourth Proportional to 9,893.97, 14,842.58 and 4,698.09

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Solution

The fourth proportional to 9,893.97, 14,842.58 and 4,698.09 is: 7,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.97 : 14,842.58 = 4,698.09 : x
  2. Step 2: Convert to fraction form
    9,893.97/14,842.58 = 4,698.09/x
  3. Step 3: Cross multiply
    9,893.97x = 14,842.58 × 4,698.09
  4. Step 4: Simplify right side
    9,893.97x = 69,731,753.18
  5. Step 5: Solve for x
    x = 69,731,753.18/9,893.97
  6. Step 6: Final answer
    x = 7,047.90

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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.