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Finding the Fourth Proportional to 9,664.61, 14,496.11 and 3,089.03

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Solution

The fourth proportional to 9,664.61, 14,496.11 and 3,089.03 is: 4,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.61 : 14,496.11 = 3,089.03 : x
  2. Step 2: Convert to fraction form
    9,664.61/14,496.11 = 3,089.03/x
  3. Step 3: Cross multiply
    9,664.61x = 14,496.11 × 3,089.03
  4. Step 4: Simplify right side
    9,664.61x = 44,778,918.67
  5. Step 5: Solve for x
    x = 44,778,918.67/9,664.61
  6. Step 6: Final answer
    x = 4,633.29

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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.