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Finding the Fourth Proportional to 9,731.58, 13,424.76 and 5,750.76

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Solution

The fourth proportional to 9,731.58, 13,424.76 and 5,750.76 is: 7,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.58 : 13,424.76 = 5,750.76 : x
  2. Step 2: Convert to fraction form
    9,731.58/13,424.76 = 5,750.76/x
  3. Step 3: Cross multiply
    9,731.58x = 13,424.76 × 5,750.76
  4. Step 4: Simplify right side
    9,731.58x = 77,202,572.82
  5. Step 5: Solve for x
    x = 77,202,572.82/9,731.58
  6. Step 6: Final answer
    x = 7,933.20

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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.