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Finding the Fourth Proportional to 9,155.94, 12,635.13 and 4,964.16

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Solution

The fourth proportional to 9,155.94, 12,635.13 and 4,964.16 is: 6,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.94 : 12,635.13 = 4,964.16 : x
  2. Step 2: Convert to fraction form
    9,155.94/12,635.13 = 4,964.16/x
  3. Step 3: Cross multiply
    9,155.94x = 12,635.13 × 4,964.16
  4. Step 4: Simplify right side
    9,155.94x = 62,722,806.94
  5. Step 5: Solve for x
    x = 62,722,806.94/9,155.94
  6. Step 6: Final answer
    x = 6,850.50

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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.