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Finding the Fourth Proportional to 9,731.42, 13,428 and 5,481.76

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Solution

The fourth proportional to 9,731.42, 13,428 and 5,481.76 is: 7,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.42 : 13,428 = 5,481.76 : x
  2. Step 2: Convert to fraction form
    9,731.42/13,428 = 5,481.76/x
  3. Step 3: Cross multiply
    9,731.42x = 13,428 × 5,481.76
  4. Step 4: Simplify right side
    9,731.42x = 73,609,073.28
  5. Step 5: Solve for x
    x = 73,609,073.28/9,731.42
  6. Step 6: Final answer
    x = 7,564.06

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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.