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Finding the Fourth Proportional to 9,278.65, 12,804.41 and 5,299.66

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Solution

The fourth proportional to 9,278.65, 12,804.41 and 5,299.66 is: 7,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.65 : 12,804.41 = 5,299.66 : x
  2. Step 2: Convert to fraction form
    9,278.65/12,804.41 = 5,299.66/x
  3. Step 3: Cross multiply
    9,278.65x = 12,804.41 × 5,299.66
  4. Step 4: Simplify right side
    9,278.65x = 67,859,048.76
  5. Step 5: Solve for x
    x = 67,859,048.76/9,278.65
  6. Step 6: Final answer
    x = 7,313.46

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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.