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Finding the Fourth Proportional to 9,954.16, 13,738.01 and 6,427.62

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Solution

The fourth proportional to 9,954.16, 13,738.01 and 6,427.62 is: 8,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.16 : 13,738.01 = 6,427.62 : x
  2. Step 2: Convert to fraction form
    9,954.16/13,738.01 = 6,427.62/x
  3. Step 3: Cross multiply
    9,954.16x = 13,738.01 × 6,427.62
  4. Step 4: Simplify right side
    9,954.16x = 88,302,675.70
  5. Step 5: Solve for x
    x = 88,302,675.70/9,954.16
  6. Step 6: Final answer
    x = 8,870.93

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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.