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Finding the Fourth Proportional to 6,289.64, 9,414.73 and 4,065.51

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Solution

The fourth proportional to 6,289.64, 9,414.73 and 4,065.51 is: 6,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.64 : 9,414.73 = 4,065.51 : x
  2. Step 2: Convert to fraction form
    6,289.64/9,414.73 = 4,065.51/x
  3. Step 3: Cross multiply
    6,289.64x = 9,414.73 × 4,065.51
  4. Step 4: Simplify right side
    6,289.64x = 38,275,678.96
  5. Step 5: Solve for x
    x = 38,275,678.96/6,289.64
  6. Step 6: Final answer
    x = 6,085.51

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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.