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Finding the Fourth Proportional to 9,502.50, 13,113.06 and 5,523.58

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Solution

The fourth proportional to 9,502.50, 13,113.06 and 5,523.58 is: 7,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.50 : 13,113.06 = 5,523.58 : x
  2. Step 2: Convert to fraction form
    9,502.50/13,113.06 = 5,523.58/x
  3. Step 3: Cross multiply
    9,502.50x = 13,113.06 × 5,523.58
  4. Step 4: Simplify right side
    9,502.50x = 72,431,035.95
  5. Step 5: Solve for x
    x = 72,431,035.95/9,502.50
  6. Step 6: Final answer
    x = 7,622.31

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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.