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Finding the Fourth Proportional to 9,378.56, 14,071.48 and 4,180.88

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Solution

The fourth proportional to 9,378.56, 14,071.48 and 4,180.88 is: 6,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.56 : 14,071.48 = 4,180.88 : x
  2. Step 2: Convert to fraction form
    9,378.56/14,071.48 = 4,180.88/x
  3. Step 3: Cross multiply
    9,378.56x = 14,071.48 × 4,180.88
  4. Step 4: Simplify right side
    9,378.56x = 58,831,169.30
  5. Step 5: Solve for x
    x = 58,831,169.30/9,378.56
  6. Step 6: Final answer
    x = 6,272.94

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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.