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Finding the Fourth Proportional to 9,214.33, 12,715.78 and 5,235.45

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Solution

The fourth proportional to 9,214.33, 12,715.78 and 5,235.45 is: 7,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.33 : 12,715.78 = 5,235.45 : x
  2. Step 2: Convert to fraction form
    9,214.33/12,715.78 = 5,235.45/x
  3. Step 3: Cross multiply
    9,214.33x = 12,715.78 × 5,235.45
  4. Step 4: Simplify right side
    9,214.33x = 66,572,836.95
  5. Step 5: Solve for x
    x = 66,572,836.95/9,214.33
  6. Step 6: Final answer
    x = 7,224.92

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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.