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Finding the Fourth Proportional to 9,880.29, 13,636.49 and 5,690.97

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Solution

The fourth proportional to 9,880.29, 13,636.49 and 5,690.97 is: 7,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.29 : 13,636.49 = 5,690.97 : x
  2. Step 2: Convert to fraction form
    9,880.29/13,636.49 = 5,690.97/x
  3. Step 3: Cross multiply
    9,880.29x = 13,636.49 × 5,690.97
  4. Step 4: Simplify right side
    9,880.29x = 77,604,827.04
  5. Step 5: Solve for x
    x = 77,604,827.04/9,880.29
  6. Step 6: Final answer
    x = 7,854.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.