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Finding the Fourth Proportional to 9,482.96, 13,086.23 and 5,233.96

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Solution

The fourth proportional to 9,482.96, 13,086.23 and 5,233.96 is: 7,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.96 : 13,086.23 = 5,233.96 : x
  2. Step 2: Convert to fraction form
    9,482.96/13,086.23 = 5,233.96/x
  3. Step 3: Cross multiply
    9,482.96x = 13,086.23 × 5,233.96
  4. Step 4: Simplify right side
    9,482.96x = 68,492,804.37
  5. Step 5: Solve for x
    x = 68,492,804.37/9,482.96
  6. Step 6: Final answer
    x = 7,222.72

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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.