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Finding the Fourth Proportional to 9,575.48, 13,212.14 and 5,797.92

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Solution

The fourth proportional to 9,575.48, 13,212.14 and 5,797.92 is: 7,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.48 : 13,212.14 = 5,797.92 : x
  2. Step 2: Convert to fraction form
    9,575.48/13,212.14 = 5,797.92/x
  3. Step 3: Cross multiply
    9,575.48x = 13,212.14 × 5,797.92
  4. Step 4: Simplify right side
    9,575.48x = 76,602,930.75
  5. Step 5: Solve for x
    x = 76,602,930.75/9,575.48
  6. Step 6: Final answer
    x = 7,999.91

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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.