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Finding the Fourth Proportional to 6,593.76, 9,096.84 and 4,237.20

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Solution

The fourth proportional to 6,593.76, 9,096.84 and 4,237.20 is: 5,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.76 : 9,096.84 = 4,237.20 : x
  2. Step 2: Convert to fraction form
    6,593.76/9,096.84 = 4,237.20/x
  3. Step 3: Cross multiply
    6,593.76x = 9,096.84 × 4,237.20
  4. Step 4: Simplify right side
    6,593.76x = 38,545,130.45
  5. Step 5: Solve for x
    x = 38,545,130.45/6,593.76
  6. Step 6: Final answer
    x = 5,845.70

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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.