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Finding the Fourth Proportional to 9,683.88, 14,522.64 and 3,108.51

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Solution

The fourth proportional to 9,683.88, 14,522.64 and 3,108.51 is: 4,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.88 : 14,522.64 = 3,108.51 : x
  2. Step 2: Convert to fraction form
    9,683.88/14,522.64 = 3,108.51/x
  3. Step 3: Cross multiply
    9,683.88x = 14,522.64 × 3,108.51
  4. Step 4: Simplify right side
    9,683.88x = 45,143,771.67
  5. Step 5: Solve for x
    x = 45,143,771.67/9,683.88
  6. Step 6: Final answer
    x = 4,661.74

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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.