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Finding the Fourth Proportional to 9,606.36, 14,376.06 and 6,647.88

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Solution

The fourth proportional to 9,606.36, 14,376.06 and 6,647.88 is: 9,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.36 : 14,376.06 = 6,647.88 : x
  2. Step 2: Convert to fraction form
    9,606.36/14,376.06 = 6,647.88/x
  3. Step 3: Cross multiply
    9,606.36x = 14,376.06 × 6,647.88
  4. Step 4: Simplify right side
    9,606.36x = 95,570,321.75
  5. Step 5: Solve for x
    x = 95,570,321.75/9,606.36
  6. Step 6: Final answer
    x = 9,948.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.