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Finding the Fourth Proportional to 9,214.58, 12,715.62 and 5,235.14

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Solution

The fourth proportional to 9,214.58, 12,715.62 and 5,235.14 is: 7,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.58 : 12,715.62 = 5,235.14 : x
  2. Step 2: Convert to fraction form
    9,214.58/12,715.62 = 5,235.14/x
  3. Step 3: Cross multiply
    9,214.58x = 12,715.62 × 5,235.14
  4. Step 4: Simplify right side
    9,214.58x = 66,568,050.89
  5. Step 5: Solve for x
    x = 66,568,050.89/9,214.58
  6. Step 6: Final answer
    x = 7,224.21

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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.