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Finding the Fourth Proportional to 9,212.85, 12,713.63 and 5,436

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Solution

The fourth proportional to 9,212.85, 12,713.63 and 5,436 is: 7,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.85 : 12,713.63 = 5,436 : x
  2. Step 2: Convert to fraction form
    9,212.85/12,713.63 = 5,436/x
  3. Step 3: Cross multiply
    9,212.85x = 12,713.63 × 5,436
  4. Step 4: Simplify right side
    9,212.85x = 69,111,265.50
  5. Step 5: Solve for x
    x = 69,111,265.50/9,212.85
  6. Step 6: Final answer
    x = 7,501.62

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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.