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Finding the Fourth Proportional to 9,675.71, 14,520.03 and 3,519.71

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Solution

The fourth proportional to 9,675.71, 14,520.03 and 3,519.71 is: 5,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.71 : 14,520.03 = 3,519.71 : x
  2. Step 2: Convert to fraction form
    9,675.71/14,520.03 = 3,519.71/x
  3. Step 3: Cross multiply
    9,675.71x = 14,520.03 × 3,519.71
  4. Step 4: Simplify right side
    9,675.71x = 51,106,294.79
  5. Step 5: Solve for x
    x = 51,106,294.79/9,675.71
  6. Step 6: Final answer
    x = 5,281.92

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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.