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Finding the Fourth Proportional to 9,482.14, 14,223.29 and 6,215.92

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Solution

The fourth proportional to 9,482.14, 14,223.29 and 6,215.92 is: 9,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.14 : 14,223.29 = 6,215.92 : x
  2. Step 2: Convert to fraction form
    9,482.14/14,223.29 = 6,215.92/x
  3. Step 3: Cross multiply
    9,482.14x = 14,223.29 × 6,215.92
  4. Step 4: Simplify right side
    9,482.14x = 88,410,766.14
  5. Step 5: Solve for x
    x = 88,410,766.14/9,482.14
  6. Step 6: Final answer
    x = 9,323.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.