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Finding the Fourth Proportional to 6,343.51, 9,513.75 and 2,395.15

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Solution

The fourth proportional to 6,343.51, 9,513.75 and 2,395.15 is: 3,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.51 : 9,513.75 = 2,395.15 : x
  2. Step 2: Convert to fraction form
    6,343.51/9,513.75 = 2,395.15/x
  3. Step 3: Cross multiply
    6,343.51x = 9,513.75 × 2,395.15
  4. Step 4: Simplify right side
    6,343.51x = 22,786,858.31
  5. Step 5: Solve for x
    x = 22,786,858.31/6,343.51
  6. Step 6: Final answer
    x = 3,592.15

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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.