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Finding the Fourth Proportional to 9,218.40, 13,827.62 and 3,950.00

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Solution

The fourth proportional to 9,218.40, 13,827.62 and 3,950.00 is: 5,925.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.40 : 13,827.62 = 3,950.00 : x
  2. Step 2: Convert to fraction form
    9,218.40/13,827.62 = 3,950.00/x
  3. Step 3: Cross multiply
    9,218.40x = 13,827.62 × 3,950.00
  4. Step 4: Simplify right side
    9,218.40x = 54,619,076.78
  5. Step 5: Solve for x
    x = 54,619,076.78/9,218.40
  6. Step 6: Final answer
    x = 5,925.00

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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.