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Finding the Fourth Proportional to 9,602.85, 14,404.73 and 3,029.55

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Solution

The fourth proportional to 9,602.85, 14,404.73 and 3,029.55 is: 4,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.85 : 14,404.73 = 3,029.55 : x
  2. Step 2: Convert to fraction form
    9,602.85/14,404.73 = 3,029.55/x
  3. Step 3: Cross multiply
    9,602.85x = 14,404.73 × 3,029.55
  4. Step 4: Simplify right side
    9,602.85x = 43,639,834.62
  5. Step 5: Solve for x
    x = 43,639,834.62/9,602.85
  6. Step 6: Final answer
    x = 4,544.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.