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Finding the Fourth Proportional to 9,676.98, 14,488.02 and 7,577.46

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Solution

The fourth proportional to 9,676.98, 14,488.02 and 7,577.46 is: 11,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.98 : 14,488.02 = 7,577.46 : x
  2. Step 2: Convert to fraction form
    9,676.98/14,488.02 = 7,577.46/x
  3. Step 3: Cross multiply
    9,676.98x = 14,488.02 × 7,577.46
  4. Step 4: Simplify right side
    9,676.98x = 109,782,392.03
  5. Step 5: Solve for x
    x = 109,782,392.03/9,676.98
  6. Step 6: Final answer
    x = 11,344.70

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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.