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Finding the Fourth Proportional to 9,214.55, 12,716.37 and 5,235.42

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Solution

The fourth proportional to 9,214.55, 12,716.37 and 5,235.42 is: 7,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.55 : 12,716.37 = 5,235.42 : x
  2. Step 2: Convert to fraction form
    9,214.55/12,716.37 = 5,235.42/x
  3. Step 3: Cross multiply
    9,214.55x = 12,716.37 × 5,235.42
  4. Step 4: Simplify right side
    9,214.55x = 66,575,537.83
  5. Step 5: Solve for x
    x = 66,575,537.83/9,214.55
  6. Step 6: Final answer
    x = 7,225.04

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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.