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Finding the Fourth Proportional to 9,295.46, 12,825.54 and 5,318.77

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Solution

The fourth proportional to 9,295.46, 12,825.54 and 5,318.77 is: 7,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.46 : 12,825.54 = 5,318.77 : x
  2. Step 2: Convert to fraction form
    9,295.46/12,825.54 = 5,318.77/x
  3. Step 3: Cross multiply
    9,295.46x = 12,825.54 × 5,318.77
  4. Step 4: Simplify right side
    9,295.46x = 68,216,097.39
  5. Step 5: Solve for x
    x = 68,216,097.39/9,295.46
  6. Step 6: Final answer
    x = 7,338.65

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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.