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Finding the Fourth Proportional to 9,076.30, 12,524.40 and 5,096.50

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Solution

The fourth proportional to 9,076.30, 12,524.40 and 5,096.50 is: 7,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.30 : 12,524.40 = 5,096.50 : x
  2. Step 2: Convert to fraction form
    9,076.30/12,524.40 = 5,096.50/x
  3. Step 3: Cross multiply
    9,076.30x = 12,524.40 × 5,096.50
  4. Step 4: Simplify right side
    9,076.30x = 63,830,604.60
  5. Step 5: Solve for x
    x = 63,830,604.60/9,076.30
  6. Step 6: Final answer
    x = 7,032.67

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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.