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Finding the Fourth Proportional to 9,253.98, 12,770.37 and 5,275.16

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Solution

The fourth proportional to 9,253.98, 12,770.37 and 5,275.16 is: 7,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.98 : 12,770.37 = 5,275.16 : x
  2. Step 2: Convert to fraction form
    9,253.98/12,770.37 = 5,275.16/x
  3. Step 3: Cross multiply
    9,253.98x = 12,770.37 × 5,275.16
  4. Step 4: Simplify right side
    9,253.98x = 67,365,729.05
  5. Step 5: Solve for x
    x = 67,365,729.05/9,253.98
  6. Step 6: Final answer
    x = 7,279.65

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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.