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Finding the Fourth Proportional to 6,289.65, 9,438.12 and 2,591.19

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Solution

The fourth proportional to 6,289.65, 9,438.12 and 2,591.19 is: 3,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.65 : 9,438.12 = 2,591.19 : x
  2. Step 2: Convert to fraction form
    6,289.65/9,438.12 = 2,591.19/x
  3. Step 3: Cross multiply
    6,289.65x = 9,438.12 × 2,591.19
  4. Step 4: Simplify right side
    6,289.65x = 24,455,962.16
  5. Step 5: Solve for x
    x = 24,455,962.16/6,289.65
  6. Step 6: Final answer
    x = 3,888.29

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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.