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Finding the Fourth Proportional to 9,571.70, 14,356.74 and 4,024.82

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Solution

The fourth proportional to 9,571.70, 14,356.74 and 4,024.82 is: 6,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.70 : 14,356.74 = 4,024.82 : x
  2. Step 2: Convert to fraction form
    9,571.70/14,356.74 = 4,024.82/x
  3. Step 3: Cross multiply
    9,571.70x = 14,356.74 × 4,024.82
  4. Step 4: Simplify right side
    9,571.70x = 57,783,294.29
  5. Step 5: Solve for x
    x = 57,783,294.29/9,571.70
  6. Step 6: Final answer
    x = 6,036.89

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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.