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Finding the Fourth Proportional to 9,669.92, 14,485.64 and 6,373

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Solution

The fourth proportional to 9,669.92, 14,485.64 and 6,373 is: 9,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.92 : 14,485.64 = 6,373 : x
  2. Step 2: Convert to fraction form
    9,669.92/14,485.64 = 6,373/x
  3. Step 3: Cross multiply
    9,669.92x = 14,485.64 × 6,373
  4. Step 4: Simplify right side
    9,669.92x = 92,316,983.72
  5. Step 5: Solve for x
    x = 92,316,983.72/9,669.92
  6. Step 6: Final answer
    x = 9,546.82

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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.