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Finding the Fourth Proportional to 9,594.73, 13,238.67 and 5,615.20

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Solution

The fourth proportional to 9,594.73, 13,238.67 and 5,615.20 is: 7,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.73 : 13,238.67 = 5,615.20 : x
  2. Step 2: Convert to fraction form
    9,594.73/13,238.67 = 5,615.20/x
  3. Step 3: Cross multiply
    9,594.73x = 13,238.67 × 5,615.20
  4. Step 4: Simplify right side
    9,594.73x = 74,337,779.78
  5. Step 5: Solve for x
    x = 74,337,779.78/9,594.73
  6. Step 6: Final answer
    x = 7,747.77

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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.