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Finding the Fourth Proportional to 9,253.86, 12,771.02 and 5,275.07

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Solution

The fourth proportional to 9,253.86, 12,771.02 and 5,275.07 is: 7,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.86 : 12,771.02 = 5,275.07 : x
  2. Step 2: Convert to fraction form
    9,253.86/12,771.02 = 5,275.07/x
  3. Step 3: Cross multiply
    9,253.86x = 12,771.02 × 5,275.07
  4. Step 4: Simplify right side
    9,253.86x = 67,368,021.70
  5. Step 5: Solve for x
    x = 67,368,021.70/9,253.86
  6. Step 6: Final answer
    x = 7,279.99

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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.