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Finding the Fourth Proportional to 9,502.04, 13,113.96 and 5,523.16

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Solution

The fourth proportional to 9,502.04, 13,113.96 and 5,523.16 is: 7,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.04 : 13,113.96 = 5,523.16 : x
  2. Step 2: Convert to fraction form
    9,502.04/13,113.96 = 5,523.16/x
  3. Step 3: Cross multiply
    9,502.04x = 13,113.96 × 5,523.16
  4. Step 4: Simplify right side
    9,502.04x = 72,430,476.88
  5. Step 5: Solve for x
    x = 72,430,476.88/9,502.04
  6. Step 6: Final answer
    x = 7,622.62

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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.