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Finding the Fourth Proportional to 9,259.20, 13,888.80 and 8,827.20

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Solution

The fourth proportional to 9,259.20, 13,888.80 and 8,827.20 is: 13,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.20 : 13,888.80 = 8,827.20 : x
  2. Step 2: Convert to fraction form
    9,259.20/13,888.80 = 8,827.20/x
  3. Step 3: Cross multiply
    9,259.20x = 13,888.80 × 8,827.20
  4. Step 4: Simplify right side
    9,259.20x = 122,599,215.36
  5. Step 5: Solve for x
    x = 122,599,215.36/9,259.20
  6. Step 6: Final answer
    x = 13,240.80

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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.