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Finding the Fourth Proportional to 9,731.64, 13,427.28 and 5,751.12

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Solution

The fourth proportional to 9,731.64, 13,427.28 and 5,751.12 is: 7,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.64 : 13,427.28 = 5,751.12 : x
  2. Step 2: Convert to fraction form
    9,731.64/13,427.28 = 5,751.12/x
  3. Step 3: Cross multiply
    9,731.64x = 13,427.28 × 5,751.12
  4. Step 4: Simplify right side
    9,731.64x = 77,221,898.55
  5. Step 5: Solve for x
    x = 77,221,898.55/9,731.64
  6. Step 6: Final answer
    x = 7,935.14

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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.