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Finding the Fourth Proportional to 6,259.36, 9,388.32 and 1,642.72

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Solution

The fourth proportional to 6,259.36, 9,388.32 and 1,642.72 is: 2,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.36 : 9,388.32 = 1,642.72 : x
  2. Step 2: Convert to fraction form
    6,259.36/9,388.32 = 1,642.72/x
  3. Step 3: Cross multiply
    6,259.36x = 9,388.32 × 1,642.72
  4. Step 4: Simplify right side
    6,259.36x = 15,422,381.03
  5. Step 5: Solve for x
    x = 15,422,381.03/6,259.36
  6. Step 6: Final answer
    x = 2,463.89

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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.