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Finding the Fourth Proportional to 9,802.21, 14,704.95 and 4,542.49

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Solution

The fourth proportional to 9,802.21, 14,704.95 and 4,542.49 is: 6,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.21 : 14,704.95 = 4,542.49 : x
  2. Step 2: Convert to fraction form
    9,802.21/14,704.95 = 4,542.49/x
  3. Step 3: Cross multiply
    9,802.21x = 14,704.95 × 4,542.49
  4. Step 4: Simplify right side
    9,802.21x = 66,797,088.33
  5. Step 5: Solve for x
    x = 66,797,088.33/9,802.21
  6. Step 6: Final answer
    x = 6,814.49

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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.