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Finding the Fourth Proportional to 9,475.32, 14,224.74 and 6,315.48

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Solution

The fourth proportional to 9,475.32, 14,224.74 and 6,315.48 is: 9,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.32 : 14,224.74 = 6,315.48 : x
  2. Step 2: Convert to fraction form
    9,475.32/14,224.74 = 6,315.48/x
  3. Step 3: Cross multiply
    9,475.32x = 14,224.74 × 6,315.48
  4. Step 4: Simplify right side
    9,475.32x = 89,836,060.98
  5. Step 5: Solve for x
    x = 89,836,060.98/9,475.32
  6. Step 6: Final answer
    x = 9,481.06

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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.