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Finding the Fourth Proportional to 6,405.12, 8,834.40 and 4,896.09

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Solution

The fourth proportional to 6,405.12, 8,834.40 and 4,896.09 is: 6,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.12 : 8,834.40 = 4,896.09 : x
  2. Step 2: Convert to fraction form
    6,405.12/8,834.40 = 4,896.09/x
  3. Step 3: Cross multiply
    6,405.12x = 8,834.40 × 4,896.09
  4. Step 4: Simplify right side
    6,405.12x = 43,254,017.50
  5. Step 5: Solve for x
    x = 43,254,017.50/6,405.12
  6. Step 6: Final answer
    x = 6,753.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.