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Finding the Fourth Proportional to 9,278.30, 12,804.94 and 5,299.72

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Solution

The fourth proportional to 9,278.30, 12,804.94 and 5,299.72 is: 7,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.30 : 12,804.94 = 5,299.72 : x
  2. Step 2: Convert to fraction form
    9,278.30/12,804.94 = 5,299.72/x
  3. Step 3: Cross multiply
    9,278.30x = 12,804.94 × 5,299.72
  4. Step 4: Simplify right side
    9,278.30x = 67,862,596.62
  5. Step 5: Solve for x
    x = 67,862,596.62/9,278.30
  6. Step 6: Final answer
    x = 7,314.12

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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.