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Finding the Fourth Proportional to 6,405.10, 9,607.65 and 3,640.30

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Solution

The fourth proportional to 6,405.10, 9,607.65 and 3,640.30 is: 5,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.10 : 9,607.65 = 3,640.30 : x
  2. Step 2: Convert to fraction form
    6,405.10/9,607.65 = 3,640.30/x
  3. Step 3: Cross multiply
    6,405.10x = 9,607.65 × 3,640.30
  4. Step 4: Simplify right side
    6,405.10x = 34,974,728.30
  5. Step 5: Solve for x
    x = 34,974,728.30/6,405.10
  6. Step 6: Final answer
    x = 5,460.45

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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.