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Finding the Fourth Proportional to 6,415.16, 9,623.70 and 2,717.40

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Solution

The fourth proportional to 6,415.16, 9,623.70 and 2,717.40 is: 4,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.16 : 9,623.70 = 2,717.40 : x
  2. Step 2: Convert to fraction form
    6,415.16/9,623.70 = 2,717.40/x
  3. Step 3: Cross multiply
    6,415.16x = 9,623.70 × 2,717.40
  4. Step 4: Simplify right side
    6,415.16x = 26,151,442.38
  5. Step 5: Solve for x
    x = 26,151,442.38/6,415.16
  6. Step 6: Final answer
    x = 4,076.51

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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.