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Finding the Fourth Proportional to 6,064.96, 9,096.48 and 1,960

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Solution

The fourth proportional to 6,064.96, 9,096.48 and 1,960 is: 2,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.96 : 9,096.48 = 1,960 : x
  2. Step 2: Convert to fraction form
    6,064.96/9,096.48 = 1,960/x
  3. Step 3: Cross multiply
    6,064.96x = 9,096.48 × 1,960
  4. Step 4: Simplify right side
    6,064.96x = 17,829,100.80
  5. Step 5: Solve for x
    x = 17,829,100.80/6,064.96
  6. Step 6: Final answer
    x = 2,939.69

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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.