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Finding the Fourth Proportional to 9,672.30, 14,509.56 and 2,746.80

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Solution

The fourth proportional to 9,672.30, 14,509.56 and 2,746.80 is: 4,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.30 : 14,509.56 = 2,746.80 : x
  2. Step 2: Convert to fraction form
    9,672.30/14,509.56 = 2,746.80/x
  3. Step 3: Cross multiply
    9,672.30x = 14,509.56 × 2,746.80
  4. Step 4: Simplify right side
    9,672.30x = 39,854,859.41
  5. Step 5: Solve for x
    x = 39,854,859.41/9,672.30
  6. Step 6: Final answer
    x = 4,120.52

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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.