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Finding the Fourth Proportional to 9,275.79, 13,830.94 and 8,245.47

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Solution

The fourth proportional to 9,275.79, 13,830.94 and 8,245.47 is: 12,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.79 : 13,830.94 = 8,245.47 : x
  2. Step 2: Convert to fraction form
    9,275.79/13,830.94 = 8,245.47/x
  3. Step 3: Cross multiply
    9,275.79x = 13,830.94 × 8,245.47
  4. Step 4: Simplify right side
    9,275.79x = 114,042,600.84
  5. Step 5: Solve for x
    x = 114,042,600.84/9,275.79
  6. Step 6: Final answer
    x = 12,294.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.