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Finding the Fourth Proportional to 9,689.84, 14,537.19 and 3,116.69

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Solution

The fourth proportional to 9,689.84, 14,537.19 and 3,116.69 is: 4,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.84 : 14,537.19 = 3,116.69 : x
  2. Step 2: Convert to fraction form
    9,689.84/14,537.19 = 3,116.69/x
  3. Step 3: Cross multiply
    9,689.84x = 14,537.19 × 3,116.69
  4. Step 4: Simplify right side
    9,689.84x = 45,307,914.70
  5. Step 5: Solve for x
    x = 45,307,914.70/9,689.84
  6. Step 6: Final answer
    x = 4,675.82

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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.