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Finding the Fourth Proportional to 9,905.68, 14,858.16 and 2,980

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Solution

The fourth proportional to 9,905.68, 14,858.16 and 2,980 is: 4,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.68 : 14,858.16 = 2,980 : x
  2. Step 2: Convert to fraction form
    9,905.68/14,858.16 = 2,980/x
  3. Step 3: Cross multiply
    9,905.68x = 14,858.16 × 2,980
  4. Step 4: Simplify right side
    9,905.68x = 44,277,316.80
  5. Step 5: Solve for x
    x = 44,277,316.80/9,905.68
  6. Step 6: Final answer
    x = 4,469.89

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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.