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Finding the Fourth Proportional to 9,572.18, 14,374.67 and 5,198.18

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Solution

The fourth proportional to 9,572.18, 14,374.67 and 5,198.18 is: 7,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.18 : 14,374.67 = 5,198.18 : x
  2. Step 2: Convert to fraction form
    9,572.18/14,374.67 = 5,198.18/x
  3. Step 3: Cross multiply
    9,572.18x = 14,374.67 × 5,198.18
  4. Step 4: Simplify right side
    9,572.18x = 74,722,024.24
  5. Step 5: Solve for x
    x = 74,722,024.24/9,572.18
  6. Step 6: Final answer
    x = 7,806.17

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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.