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Finding the Fourth Proportional to 6,415.63, 9,617.27 and 2,030.09

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Solution

The fourth proportional to 6,415.63, 9,617.27 and 2,030.09 is: 3,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.63 : 9,617.27 = 2,030.09 : x
  2. Step 2: Convert to fraction form
    6,415.63/9,617.27 = 2,030.09/x
  3. Step 3: Cross multiply
    6,415.63x = 9,617.27 × 2,030.09
  4. Step 4: Simplify right side
    6,415.63x = 19,523,865.42
  5. Step 5: Solve for x
    x = 19,523,865.42/6,415.63
  6. Step 6: Final answer
    x = 3,043.17

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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.