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Finding the Fourth Proportional to 6,291.51, 9,438.57 and 2,594.01

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Solution

The fourth proportional to 6,291.51, 9,438.57 and 2,594.01 is: 3,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.51 : 9,438.57 = 2,594.01 : x
  2. Step 2: Convert to fraction form
    6,291.51/9,438.57 = 2,594.01/x
  3. Step 3: Cross multiply
    6,291.51x = 9,438.57 × 2,594.01
  4. Step 4: Simplify right side
    6,291.51x = 24,483,744.97
  5. Step 5: Solve for x
    x = 24,483,744.97/6,291.51
  6. Step 6: Final answer
    x = 3,891.55

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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.