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Finding the Fourth Proportional to 10,342.67, 14,262.95 and 6,947.35

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Solution

The fourth proportional to 10,342.67, 14,262.95 and 6,947.35 is: 9,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.67 : 14,262.95 = 6,947.35 : x
  2. Step 2: Convert to fraction form
    10,342.67/14,262.95 = 6,947.35/x
  3. Step 3: Cross multiply
    10,342.67x = 14,262.95 × 6,947.35
  4. Step 4: Simplify right side
    10,342.67x = 99,089,687.39
  5. Step 5: Solve for x
    x = 99,089,687.39/10,342.67
  6. Step 6: Final answer
    x = 9,580.67

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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.