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Finding the Fourth Proportional to 9,658.09, 14,488.32 and 3,416.81

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Solution

The fourth proportional to 9,658.09, 14,488.32 and 3,416.81 is: 5,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.09 : 14,488.32 = 3,416.81 : x
  2. Step 2: Convert to fraction form
    9,658.09/14,488.32 = 3,416.81/x
  3. Step 3: Cross multiply
    9,658.09x = 14,488.32 × 3,416.81
  4. Step 4: Simplify right side
    9,658.09x = 49,503,836.66
  5. Step 5: Solve for x
    x = 49,503,836.66/9,658.09
  6. Step 6: Final answer
    x = 5,125.63

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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.