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Finding the Fourth Proportional to 9,644.28, 14,460.06 and 6,347.40

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Solution

The fourth proportional to 9,644.28, 14,460.06 and 6,347.40 is: 9,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.28 : 14,460.06 = 6,347.40 : x
  2. Step 2: Convert to fraction form
    9,644.28/14,460.06 = 6,347.40/x
  3. Step 3: Cross multiply
    9,644.28x = 14,460.06 × 6,347.40
  4. Step 4: Simplify right side
    9,644.28x = 91,783,784.84
  5. Step 5: Solve for x
    x = 91,783,784.84/9,644.28
  6. Step 6: Final answer
    x = 9,516.91

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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.