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Finding the Fourth Proportional to 9,552.46, 14,303.31 and 6,427.66

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Solution

The fourth proportional to 9,552.46, 14,303.31 and 6,427.66 is: 9,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.46 : 14,303.31 = 6,427.66 : x
  2. Step 2: Convert to fraction form
    9,552.46/14,303.31 = 6,427.66/x
  3. Step 3: Cross multiply
    9,552.46x = 14,303.31 × 6,427.66
  4. Step 4: Simplify right side
    9,552.46x = 91,936,813.55
  5. Step 5: Solve for x
    x = 91,936,813.55/9,552.46
  6. Step 6: Final answer
    x = 9,624.41

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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.