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Finding the Fourth Proportional to 9,299.95, 12,830.76 and 5,318.21

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Solution

The fourth proportional to 9,299.95, 12,830.76 and 5,318.21 is: 7,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.95 : 12,830.76 = 5,318.21 : x
  2. Step 2: Convert to fraction form
    9,299.95/12,830.76 = 5,318.21/x
  3. Step 3: Cross multiply
    9,299.95x = 12,830.76 × 5,318.21
  4. Step 4: Simplify right side
    9,299.95x = 68,236,708.22
  5. Step 5: Solve for x
    x = 68,236,708.22/9,299.95
  6. Step 6: Final answer
    x = 7,337.32

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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.