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Finding the Fourth Proportional to 10,319.42, 14,246.04 and 6,546.44

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Solution

The fourth proportional to 10,319.42, 14,246.04 and 6,546.44 is: 9,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.42 : 14,246.04 = 6,546.44 : x
  2. Step 2: Convert to fraction form
    10,319.42/14,246.04 = 6,546.44/x
  3. Step 3: Cross multiply
    10,319.42x = 14,246.04 × 6,546.44
  4. Step 4: Simplify right side
    10,319.42x = 93,260,846.10
  5. Step 5: Solve for x
    x = 93,260,846.10/10,319.42
  6. Step 6: Final answer
    x = 9,037.41

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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.