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Finding the Fourth Proportional to 9,689.49, 14,537.07 and 5,012.16

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Solution

The fourth proportional to 9,689.49, 14,537.07 and 5,012.16 is: 7,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.49 : 14,537.07 = 5,012.16 : x
  2. Step 2: Convert to fraction form
    9,689.49/14,537.07 = 5,012.16/x
  3. Step 3: Cross multiply
    9,689.49x = 14,537.07 × 5,012.16
  4. Step 4: Simplify right side
    9,689.49x = 72,862,120.77
  5. Step 5: Solve for x
    x = 72,862,120.77/9,689.49
  6. Step 6: Final answer
    x = 7,519.71

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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.