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Finding the Fourth Proportional to 9,378.82, 14,052.66 and 6,599.68

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Solution

The fourth proportional to 9,378.82, 14,052.66 and 6,599.68 is: 9,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.82 : 14,052.66 = 6,599.68 : x
  2. Step 2: Convert to fraction form
    9,378.82/14,052.66 = 6,599.68/x
  3. Step 3: Cross multiply
    9,378.82x = 14,052.66 × 6,599.68
  4. Step 4: Simplify right side
    9,378.82x = 92,742,999.27
  5. Step 5: Solve for x
    x = 92,742,999.27/9,378.82
  6. Step 6: Final answer
    x = 9,888.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.