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Finding the Fourth Proportional to 9,548.23, 14,325.46 and 8,004.37

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Solution

The fourth proportional to 9,548.23, 14,325.46 and 8,004.37 is: 12,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.23 : 14,325.46 = 8,004.37 : x
  2. Step 2: Convert to fraction form
    9,548.23/14,325.46 = 8,004.37/x
  3. Step 3: Cross multiply
    9,548.23x = 14,325.46 × 8,004.37
  4. Step 4: Simplify right side
    9,548.23x = 114,666,253.30
  5. Step 5: Solve for x
    x = 114,666,253.30/9,548.23
  6. Step 6: Final answer
    x = 12,009.16

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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.