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Finding the Fourth Proportional to 7,237.32, 9,982.76 and 5,742.88

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Solution

The fourth proportional to 7,237.32, 9,982.76 and 5,742.88 is: 7,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.32 : 9,982.76 = 5,742.88 : x
  2. Step 2: Convert to fraction form
    7,237.32/9,982.76 = 5,742.88/x
  3. Step 3: Cross multiply
    7,237.32x = 9,982.76 × 5,742.88
  4. Step 4: Simplify right side
    7,237.32x = 57,329,792.75
  5. Step 5: Solve for x
    x = 57,329,792.75/7,237.32
  6. Step 6: Final answer
    x = 7,921.41

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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.