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Finding the Fourth Proportional to 9,572.26, 13,210.92 and 5,380.50

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Solution

The fourth proportional to 9,572.26, 13,210.92 and 5,380.50 is: 7,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.26 : 13,210.92 = 5,380.50 : x
  2. Step 2: Convert to fraction form
    9,572.26/13,210.92 = 5,380.50/x
  3. Step 3: Cross multiply
    9,572.26x = 13,210.92 × 5,380.50
  4. Step 4: Simplify right side
    9,572.26x = 71,081,355.06
  5. Step 5: Solve for x
    x = 71,081,355.06/9,572.26
  6. Step 6: Final answer
    x = 7,425.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.