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Finding the Fourth Proportional to 10,435.32, 14,399.46 and 6,605.46

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Solution

The fourth proportional to 10,435.32, 14,399.46 and 6,605.46 is: 9,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.32 : 14,399.46 = 6,605.46 : x
  2. Step 2: Convert to fraction form
    10,435.32/14,399.46 = 6,605.46/x
  3. Step 3: Cross multiply
    10,435.32x = 14,399.46 × 6,605.46
  4. Step 4: Simplify right side
    10,435.32x = 95,115,057.05
  5. Step 5: Solve for x
    x = 95,115,057.05/10,435.32
  6. Step 6: Final answer
    x = 9,114.72

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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.