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Finding the Fourth Proportional to 9,496.32, 14,234.75 and 4,807.63

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Solution

The fourth proportional to 9,496.32, 14,234.75 and 4,807.63 is: 7,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.32 : 14,234.75 = 4,807.63 : x
  2. Step 2: Convert to fraction form
    9,496.32/14,234.75 = 4,807.63/x
  3. Step 3: Cross multiply
    9,496.32x = 14,234.75 × 4,807.63
  4. Step 4: Simplify right side
    9,496.32x = 68,435,422.93
  5. Step 5: Solve for x
    x = 68,435,422.93/9,496.32
  6. Step 6: Final answer
    x = 7,206.52

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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.