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Finding the Fourth Proportional to 9,497.75, 13,101.41 and 5,718.29

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Solution

The fourth proportional to 9,497.75, 13,101.41 and 5,718.29 is: 7,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.75 : 13,101.41 = 5,718.29 : x
  2. Step 2: Convert to fraction form
    9,497.75/13,101.41 = 5,718.29/x
  3. Step 3: Cross multiply
    9,497.75x = 13,101.41 × 5,718.29
  4. Step 4: Simplify right side
    9,497.75x = 74,917,661.79
  5. Step 5: Solve for x
    x = 74,917,661.79/9,497.75
  6. Step 6: Final answer
    x = 7,887.94

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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.