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Finding the Fourth Proportional to 9,594.42, 13,239.42 and 5,615.83

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Solution

The fourth proportional to 9,594.42, 13,239.42 and 5,615.83 is: 7,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.42 : 13,239.42 = 5,615.83 : x
  2. Step 2: Convert to fraction form
    9,594.42/13,239.42 = 5,615.83/x
  3. Step 3: Cross multiply
    9,594.42x = 13,239.42 × 5,615.83
  4. Step 4: Simplify right side
    9,594.42x = 74,350,327.51
  5. Step 5: Solve for x
    x = 74,350,327.51/9,594.42
  6. Step 6: Final answer
    x = 7,749.33

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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.