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Finding the Fourth Proportional to 10,328.46, 14,257.63 and 6,975.81

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Solution

The fourth proportional to 10,328.46, 14,257.63 and 6,975.81 is: 9,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.46 : 14,257.63 = 6,975.81 : x
  2. Step 2: Convert to fraction form
    10,328.46/14,257.63 = 6,975.81/x
  3. Step 3: Cross multiply
    10,328.46x = 14,257.63 × 6,975.81
  4. Step 4: Simplify right side
    10,328.46x = 99,458,507.03
  5. Step 5: Solve for x
    x = 99,458,507.03/10,328.46
  6. Step 6: Final answer
    x = 9,629.56

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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.