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Finding the Fourth Proportional to 6,064.42, 9,096.89 and 2,116.07

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Solution

The fourth proportional to 6,064.42, 9,096.89 and 2,116.07 is: 3,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.42 : 9,096.89 = 2,116.07 : x
  2. Step 2: Convert to fraction form
    6,064.42/9,096.89 = 2,116.07/x
  3. Step 3: Cross multiply
    6,064.42x = 9,096.89 × 2,116.07
  4. Step 4: Simplify right side
    6,064.42x = 19,249,668.18
  5. Step 5: Solve for x
    x = 19,249,668.18/6,064.42
  6. Step 6: Final answer
    x = 3,174.20

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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.