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Finding the Fourth Proportional to 9,571.48, 14,362.80 and 4,024.42

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Solution

The fourth proportional to 9,571.48, 14,362.80 and 4,024.42 is: 6,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.48 : 14,362.80 = 4,024.42 : x
  2. Step 2: Convert to fraction form
    9,571.48/14,362.80 = 4,024.42/x
  3. Step 3: Cross multiply
    9,571.48x = 14,362.80 × 4,024.42
  4. Step 4: Simplify right side
    9,571.48x = 57,801,939.58
  5. Step 5: Solve for x
    x = 57,801,939.58/9,571.48
  6. Step 6: Final answer
    x = 6,038.98

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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.