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Finding the Fourth Proportional to 9,730.22, 13,425.23 and 5,952.00

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Solution

The fourth proportional to 9,730.22, 13,425.23 and 5,952.00 is: 8,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.22 : 13,425.23 = 5,952.00 : x
  2. Step 2: Convert to fraction form
    9,730.22/13,425.23 = 5,952.00/x
  3. Step 3: Cross multiply
    9,730.22x = 13,425.23 × 5,952.00
  4. Step 4: Simplify right side
    9,730.22x = 79,906,987.64
  5. Step 5: Solve for x
    x = 79,906,987.64/9,730.22
  6. Step 6: Final answer
    x = 8,212.25

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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.