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Finding the Fourth Proportional to 9,572.91, 14,338.59 and 4,632.19

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Solution

The fourth proportional to 9,572.91, 14,338.59 and 4,632.19 is: 6,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.91 : 14,338.59 = 4,632.19 : x
  2. Step 2: Convert to fraction form
    9,572.91/14,338.59 = 4,632.19/x
  3. Step 3: Cross multiply
    9,572.91x = 14,338.59 × 4,632.19
  4. Step 4: Simplify right side
    9,572.91x = 66,419,059.08
  5. Step 5: Solve for x
    x = 66,419,059.08/9,572.91
  6. Step 6: Final answer
    x = 6,938.23

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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.