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Finding the Fourth Proportional to 9,731.87, 13,430.31 and 5,756.39

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Solution

The fourth proportional to 9,731.87, 13,430.31 and 5,756.39 is: 7,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.87 : 13,430.31 = 5,756.39 : x
  2. Step 2: Convert to fraction form
    9,731.87/13,430.31 = 5,756.39/x
  3. Step 3: Cross multiply
    9,731.87x = 13,430.31 × 5,756.39
  4. Step 4: Simplify right side
    9,731.87x = 77,310,102.18
  5. Step 5: Solve for x
    x = 77,310,102.18/9,731.87
  6. Step 6: Final answer
    x = 7,944.01

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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.