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Finding the Fourth Proportional to 9,732.36, 13,430.76 and 5,540.64

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Solution

The fourth proportional to 9,732.36, 13,430.76 and 5,540.64 is: 7,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.36 : 13,430.76 = 5,540.64 : x
  2. Step 2: Convert to fraction form
    9,732.36/13,430.76 = 5,540.64/x
  3. Step 3: Cross multiply
    9,732.36x = 13,430.76 × 5,540.64
  4. Step 4: Simplify right side
    9,732.36x = 74,415,006.09
  5. Step 5: Solve for x
    x = 74,415,006.09/9,732.36
  6. Step 6: Final answer
    x = 7,646.14

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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.