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Finding the Fourth Proportional to 9,277.44, 12,803.94 and 5,299.14

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Solution

The fourth proportional to 9,277.44, 12,803.94 and 5,299.14 is: 7,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.44 : 12,803.94 = 5,299.14 : x
  2. Step 2: Convert to fraction form
    9,277.44/12,803.94 = 5,299.14/x
  3. Step 3: Cross multiply
    9,277.44x = 12,803.94 × 5,299.14
  4. Step 4: Simplify right side
    9,277.44x = 67,849,870.61
  5. Step 5: Solve for x
    x = 67,849,870.61/9,277.44
  6. Step 6: Final answer
    x = 7,313.43

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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.