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Finding the Fourth Proportional to 6,415.19, 9,615.31 and 2,716.19

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Solution

The fourth proportional to 6,415.19, 9,615.31 and 2,716.19 is: 4,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.19 : 9,615.31 = 2,716.19 : x
  2. Step 2: Convert to fraction form
    6,415.19/9,615.31 = 2,716.19/x
  3. Step 3: Cross multiply
    6,415.19x = 9,615.31 × 2,716.19
  4. Step 4: Simplify right side
    6,415.19x = 26,117,008.87
  5. Step 5: Solve for x
    x = 26,117,008.87/6,415.19
  6. Step 6: Final answer
    x = 4,071.12

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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.