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Finding the Fourth Proportional to 9,313.95, 12,853.25 and 5,122.20

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Solution

The fourth proportional to 9,313.95, 12,853.25 and 5,122.20 is: 7,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.95 : 12,853.25 = 5,122.20 : x
  2. Step 2: Convert to fraction form
    9,313.95/12,853.25 = 5,122.20/x
  3. Step 3: Cross multiply
    9,313.95x = 12,853.25 × 5,122.20
  4. Step 4: Simplify right side
    9,313.95x = 65,836,958.95
  5. Step 5: Solve for x
    x = 65,836,958.95/9,313.95
  6. Step 6: Final answer
    x = 7,068.64

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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.