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Finding the Fourth Proportional to 10,427.70, 14,393.73 and 6,339.48

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Solution

The fourth proportional to 10,427.70, 14,393.73 and 6,339.48 is: 8,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.70 : 14,393.73 = 6,339.48 : x
  2. Step 2: Convert to fraction form
    10,427.70/14,393.73 = 6,339.48/x
  3. Step 3: Cross multiply
    10,427.70x = 14,393.73 × 6,339.48
  4. Step 4: Simplify right side
    10,427.70x = 91,248,763.46
  5. Step 5: Solve for x
    x = 91,248,763.46/10,427.70
  6. Step 6: Final answer
    x = 8,750.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.