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Finding the Fourth Proportional to 9,558.53, 13,204.07 and 9,091.46

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Solution

The fourth proportional to 9,558.53, 13,204.07 and 9,091.46 is: 12,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.53 : 13,204.07 = 9,091.46 : x
  2. Step 2: Convert to fraction form
    9,558.53/13,204.07 = 9,091.46/x
  3. Step 3: Cross multiply
    9,558.53x = 13,204.07 × 9,091.46
  4. Step 4: Simplify right side
    9,558.53x = 120,044,228.78
  5. Step 5: Solve for x
    x = 120,044,228.78/9,558.53
  6. Step 6: Final answer
    x = 12,558.86

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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.