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Finding the Fourth Proportional to 6,435.45, 9,641.23 and 5,402.09

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Solution

The fourth proportional to 6,435.45, 9,641.23 and 5,402.09 is: 8,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.45 : 9,641.23 = 5,402.09 : x
  2. Step 2: Convert to fraction form
    6,435.45/9,641.23 = 5,402.09/x
  3. Step 3: Cross multiply
    6,435.45x = 9,641.23 × 5,402.09
  4. Step 4: Simplify right side
    6,435.45x = 52,082,802.77
  5. Step 5: Solve for x
    x = 52,082,802.77/6,435.45
  6. Step 6: Final answer
    x = 8,093.11

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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.