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Finding the Fourth Proportional to 9,971.56, 14,959.50 and 3,731.32

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Solution

The fourth proportional to 9,971.56, 14,959.50 and 3,731.32 is: 5,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.56 : 14,959.50 = 3,731.32 : x
  2. Step 2: Convert to fraction form
    9,971.56/14,959.50 = 3,731.32/x
  3. Step 3: Cross multiply
    9,971.56x = 14,959.50 × 3,731.32
  4. Step 4: Simplify right side
    9,971.56x = 55,818,681.54
  5. Step 5: Solve for x
    x = 55,818,681.54/9,971.56
  6. Step 6: Final answer
    x = 5,597.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.