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Finding the Fourth Proportional to 9,334.48, 12,780.57 and 9,301.66

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Solution

The fourth proportional to 9,334.48, 12,780.57 and 9,301.66 is: 12,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.48 : 12,780.57 = 9,301.66 : x
  2. Step 2: Convert to fraction form
    9,334.48/12,780.57 = 9,301.66/x
  3. Step 3: Cross multiply
    9,334.48x = 12,780.57 × 9,301.66
  4. Step 4: Simplify right side
    9,334.48x = 118,880,516.75
  5. Step 5: Solve for x
    x = 118,880,516.75/9,334.48
  6. Step 6: Final answer
    x = 12,735.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.