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Finding the Fourth Proportional to 9,502.46, 13,113.33 and 5,310.71

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Solution

The fourth proportional to 9,502.46, 13,113.33 and 5,310.71 is: 7,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.46 : 13,113.33 = 5,310.71 : x
  2. Step 2: Convert to fraction form
    9,502.46/13,113.33 = 5,310.71/x
  3. Step 3: Cross multiply
    9,502.46x = 13,113.33 × 5,310.71
  4. Step 4: Simplify right side
    9,502.46x = 69,641,092.76
  5. Step 5: Solve for x
    x = 69,641,092.76/9,502.46
  6. Step 6: Final answer
    x = 7,328.74

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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.