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Finding the Fourth Proportional to 9,676.58, 14,494.37 and 7,310.52

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Solution

The fourth proportional to 9,676.58, 14,494.37 and 7,310.52 is: 10,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.58 : 14,494.37 = 7,310.52 : x
  2. Step 2: Convert to fraction form
    9,676.58/14,494.37 = 7,310.52/x
  3. Step 3: Cross multiply
    9,676.58x = 14,494.37 × 7,310.52
  4. Step 4: Simplify right side
    9,676.58x = 105,961,345.22
  5. Step 5: Solve for x
    x = 105,961,345.22/9,676.58
  6. Step 6: Final answer
    x = 10,950.29

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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.