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Finding the Fourth Proportional to 9,729.63, 13,427.91 and 5,955.32

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Solution

The fourth proportional to 9,729.63, 13,427.91 and 5,955.32 is: 8,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.63 : 13,427.91 = 5,955.32 : x
  2. Step 2: Convert to fraction form
    9,729.63/13,427.91 = 5,955.32/x
  3. Step 3: Cross multiply
    9,729.63x = 13,427.91 × 5,955.32
  4. Step 4: Simplify right side
    9,729.63x = 79,967,411.51
  5. Step 5: Solve for x
    x = 79,967,411.51/9,729.63
  6. Step 6: Final answer
    x = 8,218.95

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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.