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Finding the Fourth Proportional to 9,782.71, 14,672.50 and 3,118.34

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Solution

The fourth proportional to 9,782.71, 14,672.50 and 3,118.34 is: 4,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.71 : 14,672.50 = 3,118.34 : x
  2. Step 2: Convert to fraction form
    9,782.71/14,672.50 = 3,118.34/x
  3. Step 3: Cross multiply
    9,782.71x = 14,672.50 × 3,118.34
  4. Step 4: Simplify right side
    9,782.71x = 45,753,843.65
  5. Step 5: Solve for x
    x = 45,753,843.65/9,782.71
  6. Step 6: Final answer
    x = 4,677.01

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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.