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Finding the Fourth Proportional to 9,382.60, 12,950.52 and 5,605.92

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Solution

The fourth proportional to 9,382.60, 12,950.52 and 5,605.92 is: 7,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.60 : 12,950.52 = 5,605.92 : x
  2. Step 2: Convert to fraction form
    9,382.60/12,950.52 = 5,605.92/x
  3. Step 3: Cross multiply
    9,382.60x = 12,950.52 × 5,605.92
  4. Step 4: Simplify right side
    9,382.60x = 72,599,579.08
  5. Step 5: Solve for x
    x = 72,599,579.08/9,382.60
  6. Step 6: Final answer
    x = 7,737.68

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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.