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Finding the Fourth Proportional to 9,572.67, 14,348.36 and 4,024.37

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Solution

The fourth proportional to 9,572.67, 14,348.36 and 4,024.37 is: 6,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.67 : 14,348.36 = 4,024.37 : x
  2. Step 2: Convert to fraction form
    9,572.67/14,348.36 = 4,024.37/x
  3. Step 3: Cross multiply
    9,572.67x = 14,348.36 × 4,024.37
  4. Step 4: Simplify right side
    9,572.67x = 57,743,017.67
  5. Step 5: Solve for x
    x = 57,743,017.67/9,572.67
  6. Step 6: Final answer
    x = 6,032.07

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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.