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Finding the Fourth Proportional to 9,676.09, 14,448.63 and 7,679.32

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Solution

The fourth proportional to 9,676.09, 14,448.63 and 7,679.32 is: 11,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.09 : 14,448.63 = 7,679.32 : x
  2. Step 2: Convert to fraction form
    9,676.09/14,448.63 = 7,679.32/x
  3. Step 3: Cross multiply
    9,676.09x = 14,448.63 × 7,679.32
  4. Step 4: Simplify right side
    9,676.09x = 110,955,684.08
  5. Step 5: Solve for x
    x = 110,955,684.08/9,676.09
  6. Step 6: Final answer
    x = 11,466.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.