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Finding the Fourth Proportional to 9,896.57, 14,845.03 and 4,628.66

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Solution

The fourth proportional to 9,896.57, 14,845.03 and 4,628.66 is: 6,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.57 : 14,845.03 = 4,628.66 : x
  2. Step 2: Convert to fraction form
    9,896.57/14,845.03 = 4,628.66/x
  3. Step 3: Cross multiply
    9,896.57x = 14,845.03 × 4,628.66
  4. Step 4: Simplify right side
    9,896.57x = 68,712,622.10
  5. Step 5: Solve for x
    x = 68,712,622.10/9,896.57
  6. Step 6: Final answer
    x = 6,943.08

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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.