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Finding the Fourth Proportional to 6,898.36, 9,513.12 and 4,634.82

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Solution

The fourth proportional to 6,898.36, 9,513.12 and 4,634.82 is: 6,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.36 : 9,513.12 = 4,634.82 : x
  2. Step 2: Convert to fraction form
    6,898.36/9,513.12 = 4,634.82/x
  3. Step 3: Cross multiply
    6,898.36x = 9,513.12 × 4,634.82
  4. Step 4: Simplify right side
    6,898.36x = 44,091,598.84
  5. Step 5: Solve for x
    x = 44,091,598.84/6,898.36
  6. Step 6: Final answer
    x = 6,391.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.