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Finding the Fourth Proportional to 9,717.33, 13,409.52 and 5,739.72

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Solution

The fourth proportional to 9,717.33, 13,409.52 and 5,739.72 is: 7,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.33 : 13,409.52 = 5,739.72 : x
  2. Step 2: Convert to fraction form
    9,717.33/13,409.52 = 5,739.72/x
  3. Step 3: Cross multiply
    9,717.33x = 13,409.52 × 5,739.72
  4. Step 4: Simplify right side
    9,717.33x = 76,966,890.13
  5. Step 5: Solve for x
    x = 76,966,890.13/9,717.33
  6. Step 6: Final answer
    x = 7,920.58

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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.