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Finding the Fourth Proportional to 9,454.09, 14,150.22 and 6,954.61

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Solution

The fourth proportional to 9,454.09, 14,150.22 and 6,954.61 is: 10,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.09 : 14,150.22 = 6,954.61 : x
  2. Step 2: Convert to fraction form
    9,454.09/14,150.22 = 6,954.61/x
  3. Step 3: Cross multiply
    9,454.09x = 14,150.22 × 6,954.61
  4. Step 4: Simplify right side
    9,454.09x = 98,409,261.51
  5. Step 5: Solve for x
    x = 98,409,261.51/9,454.09
  6. Step 6: Final answer
    x = 10,409.17

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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.