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Finding the Fourth Proportional to 6,405.57, 9,603.14 and 4,299.36

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Solution

The fourth proportional to 6,405.57, 9,603.14 and 4,299.36 is: 6,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.57 : 9,603.14 = 4,299.36 : x
  2. Step 2: Convert to fraction form
    6,405.57/9,603.14 = 4,299.36/x
  3. Step 3: Cross multiply
    6,405.57x = 9,603.14 × 4,299.36
  4. Step 4: Simplify right side
    6,405.57x = 41,287,334.49
  5. Step 5: Solve for x
    x = 41,287,334.49/6,405.57
  6. Step 6: Final answer
    x = 6,445.54

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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.