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Finding the Fourth Proportional to 9,277.25, 12,805.02 and 5,299.74

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Solution

The fourth proportional to 9,277.25, 12,805.02 and 5,299.74 is: 7,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.25 : 12,805.02 = 5,299.74 : x
  2. Step 2: Convert to fraction form
    9,277.25/12,805.02 = 5,299.74/x
  3. Step 3: Cross multiply
    9,277.25x = 12,805.02 × 5,299.74
  4. Step 4: Simplify right side
    9,277.25x = 67,863,276.69
  5. Step 5: Solve for x
    x = 67,863,276.69/9,277.25
  6. Step 6: Final answer
    x = 7,315.02

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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.