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Finding the Fourth Proportional to 9,487.63, 14,237.37 and 4,562.33

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Solution

The fourth proportional to 9,487.63, 14,237.37 and 4,562.33 is: 6,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.63 : 14,237.37 = 4,562.33 : x
  2. Step 2: Convert to fraction form
    9,487.63/14,237.37 = 4,562.33/x
  3. Step 3: Cross multiply
    9,487.63x = 14,237.37 × 4,562.33
  4. Step 4: Simplify right side
    9,487.63x = 64,955,509.09
  5. Step 5: Solve for x
    x = 64,955,509.09/9,487.63
  6. Step 6: Final answer
    x = 6,846.34

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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.