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Finding the Fourth Proportional to 6,291.12, 9,428.54 and 2,589.16

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Solution

The fourth proportional to 6,291.12, 9,428.54 and 2,589.16 is: 3,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.12 : 9,428.54 = 2,589.16 : x
  2. Step 2: Convert to fraction form
    6,291.12/9,428.54 = 2,589.16/x
  3. Step 3: Cross multiply
    6,291.12x = 9,428.54 × 2,589.16
  4. Step 4: Simplify right side
    6,291.12x = 24,411,998.63
  5. Step 5: Solve for x
    x = 24,411,998.63/6,291.12
  6. Step 6: Final answer
    x = 3,880.39

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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.