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Finding the Fourth Proportional to 9,208.68, 12,712.26 and 5,430.57

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Solution

The fourth proportional to 9,208.68, 12,712.26 and 5,430.57 is: 7,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.68 : 12,712.26 = 5,430.57 : x
  2. Step 2: Convert to fraction form
    9,208.68/12,712.26 = 5,430.57/x
  3. Step 3: Cross multiply
    9,208.68x = 12,712.26 × 5,430.57
  4. Step 4: Simplify right side
    9,208.68x = 69,034,817.79
  5. Step 5: Solve for x
    x = 69,034,817.79/9,208.68
  6. Step 6: Final answer
    x = 7,496.71

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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.