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Finding the Fourth Proportional to 9,675.86, 14,515.83 and 3,106.65

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Solution

The fourth proportional to 9,675.86, 14,515.83 and 3,106.65 is: 4,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.86 : 14,515.83 = 3,106.65 : x
  2. Step 2: Convert to fraction form
    9,675.86/14,515.83 = 3,106.65/x
  3. Step 3: Cross multiply
    9,675.86x = 14,515.83 × 3,106.65
  4. Step 4: Simplify right side
    9,675.86x = 45,095,666.44
  5. Step 5: Solve for x
    x = 45,095,666.44/9,675.86
  6. Step 6: Final answer
    x = 4,660.64

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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.