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Finding the Fourth Proportional to 12,374.37, 17,076.76 and 6,709.13

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Solution

The fourth proportional to 12,374.37, 17,076.76 and 6,709.13 is: 9,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.37 : 17,076.76 = 6,709.13 : x
  2. Step 2: Convert to fraction form
    12,374.37/17,076.76 = 6,709.13/x
  3. Step 3: Cross multiply
    12,374.37x = 17,076.76 × 6,709.13
  4. Step 4: Simplify right side
    12,374.37x = 114,570,164.70
  5. Step 5: Solve for x
    x = 114,570,164.70/12,374.37
  6. Step 6: Final answer
    x = 9,258.67

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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.