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Finding the Fourth Proportional to 9,290.55, 12,821.82 and 5,310.87

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Solution

The fourth proportional to 9,290.55, 12,821.82 and 5,310.87 is: 7,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.55 : 12,821.82 = 5,310.87 : x
  2. Step 2: Convert to fraction form
    9,290.55/12,821.82 = 5,310.87/x
  3. Step 3: Cross multiply
    9,290.55x = 12,821.82 × 5,310.87
  4. Step 4: Simplify right side
    9,290.55x = 68,095,019.18
  5. Step 5: Solve for x
    x = 68,095,019.18/9,290.55
  6. Step 6: Final answer
    x = 7,329.49

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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.