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Finding the Fourth Proportional to 9,212.60, 12,713.36 and 5,235.00

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Solution

The fourth proportional to 9,212.60, 12,713.36 and 5,235.00 is: 7,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.60 : 12,713.36 = 5,235.00 : x
  2. Step 2: Convert to fraction form
    9,212.60/12,713.36 = 5,235.00/x
  3. Step 3: Cross multiply
    9,212.60x = 12,713.36 × 5,235.00
  4. Step 4: Simplify right side
    9,212.60x = 66,554,365.75
  5. Step 5: Solve for x
    x = 66,554,365.75/9,212.60
  6. Step 6: Final answer
    x = 7,224.27

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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.