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Finding the Fourth Proportional to 6,032.70, 9,046.65 and 2,135.10

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Solution

The fourth proportional to 6,032.70, 9,046.65 and 2,135.10 is: 3,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.70 : 9,046.65 = 2,135.10 : x
  2. Step 2: Convert to fraction form
    6,032.70/9,046.65 = 2,135.10/x
  3. Step 3: Cross multiply
    6,032.70x = 9,046.65 × 2,135.10
  4. Step 4: Simplify right side
    6,032.70x = 19,315,502.42
  5. Step 5: Solve for x
    x = 19,315,502.42/6,032.70
  6. Step 6: Final answer
    x = 3,201.80

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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.