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Finding the Fourth Proportional to 9,732.60, 13,430.44 and 5,754.08

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Solution

The fourth proportional to 9,732.60, 13,430.44 and 5,754.08 is: 7,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.60 : 13,430.44 = 5,754.08 : x
  2. Step 2: Convert to fraction form
    9,732.60/13,430.44 = 5,754.08/x
  3. Step 3: Cross multiply
    9,732.60x = 13,430.44 × 5,754.08
  4. Step 4: Simplify right side
    9,732.60x = 77,279,866.96
  5. Step 5: Solve for x
    x = 77,279,866.96/9,732.60
  6. Step 6: Final answer
    x = 7,940.31

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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.