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Finding the Fourth Proportional to 9,810.54, 14,715.66 and 3,963

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Solution

The fourth proportional to 9,810.54, 14,715.66 and 3,963 is: 5,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.54 : 14,715.66 = 3,963 : x
  2. Step 2: Convert to fraction form
    9,810.54/14,715.66 = 3,963/x
  3. Step 3: Cross multiply
    9,810.54x = 14,715.66 × 3,963
  4. Step 4: Simplify right side
    9,810.54x = 58,318,160.58
  5. Step 5: Solve for x
    x = 58,318,160.58/9,810.54
  6. Step 6: Final answer
    x = 5,944.44

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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.