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Finding the Fourth Proportional to 9,889.53, 14,834.31 and 3,315.75

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Solution

The fourth proportional to 9,889.53, 14,834.31 and 3,315.75 is: 4,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.53 : 14,834.31 = 3,315.75 : x
  2. Step 2: Convert to fraction form
    9,889.53/14,834.31 = 3,315.75/x
  3. Step 3: Cross multiply
    9,889.53x = 14,834.31 × 3,315.75
  4. Step 4: Simplify right side
    9,889.53x = 49,186,863.38
  5. Step 5: Solve for x
    x = 49,186,863.38/9,889.53
  6. Step 6: Final answer
    x = 4,973.63

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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.