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Finding the Fourth Proportional to 9,502.95, 14,242.75 and 5,334.22

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Solution

The fourth proportional to 9,502.95, 14,242.75 and 5,334.22 is: 7,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.95 : 14,242.75 = 5,334.22 : x
  2. Step 2: Convert to fraction form
    9,502.95/14,242.75 = 5,334.22/x
  3. Step 3: Cross multiply
    9,502.95x = 14,242.75 × 5,334.22
  4. Step 4: Simplify right side
    9,502.95x = 75,973,912.96
  5. Step 5: Solve for x
    x = 75,973,912.96/9,502.95
  6. Step 6: Final answer
    x = 7,994.77

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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.