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Finding the Fourth Proportional to 9,729, 14,594.94 and 4,532.04

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Solution

The fourth proportional to 9,729, 14,594.94 and 4,532.04 is: 6,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 14,594.94 = 4,532.04 : x
  2. Step 2: Convert to fraction form
    9,729/14,594.94 = 4,532.04/x
  3. Step 3: Cross multiply
    9,729x = 14,594.94 × 4,532.04
  4. Step 4: Simplify right side
    9,729x = 66,144,851.88
  5. Step 5: Solve for x
    x = 66,144,851.88/9,729
  6. Step 6: Final answer
    x = 6,798.73

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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.