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Finding the Fourth Proportional to 9,502.80, 13,113.16 and 5,310.80

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Solution

The fourth proportional to 9,502.80, 13,113.16 and 5,310.80 is: 7,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.80 : 13,113.16 = 5,310.80 : x
  2. Step 2: Convert to fraction form
    9,502.80/13,113.16 = 5,310.80/x
  3. Step 3: Cross multiply
    9,502.80x = 13,113.16 × 5,310.80
  4. Step 4: Simplify right side
    9,502.80x = 69,641,370.13
  5. Step 5: Solve for x
    x = 69,641,370.13/9,502.80
  6. Step 6: Final answer
    x = 7,328.51

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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.