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Finding the Fourth Proportional to 6,157.64, 9,278.03 and 5,086.01

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Solution

The fourth proportional to 6,157.64, 9,278.03 and 5,086.01 is: 7,663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.64 : 9,278.03 = 5,086.01 : x
  2. Step 2: Convert to fraction form
    6,157.64/9,278.03 = 5,086.01/x
  3. Step 3: Cross multiply
    6,157.64x = 9,278.03 × 5,086.01
  4. Step 4: Simplify right side
    6,157.64x = 47,188,153.36
  5. Step 5: Solve for x
    x = 47,188,153.36/6,157.64
  6. Step 6: Final answer
    x = 7,663.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.