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Finding the Fourth Proportional to 9,689.49, 14,532.85 and 3,114.83

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Solution

The fourth proportional to 9,689.49, 14,532.85 and 3,114.83 is: 4,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.49 : 14,532.85 = 3,114.83 : x
  2. Step 2: Convert to fraction form
    9,689.49/14,532.85 = 3,114.83/x
  3. Step 3: Cross multiply
    9,689.49x = 14,532.85 × 3,114.83
  4. Step 4: Simplify right side
    9,689.49x = 45,267,357.17
  5. Step 5: Solve for x
    x = 45,267,357.17/9,689.49
  6. Step 6: Final answer
    x = 4,671.80

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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.