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Finding the Fourth Proportional to 9,636.13, 14,455.16 and 2,616.26

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Solution

The fourth proportional to 9,636.13, 14,455.16 and 2,616.26 is: 3,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.13 : 14,455.16 = 2,616.26 : x
  2. Step 2: Convert to fraction form
    9,636.13/14,455.16 = 2,616.26/x
  3. Step 3: Cross multiply
    9,636.13x = 14,455.16 × 2,616.26
  4. Step 4: Simplify right side
    9,636.13x = 37,818,391.17
  5. Step 5: Solve for x
    x = 37,818,391.17/9,636.13
  6. Step 6: Final answer
    x = 3,924.65

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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.