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Finding the Fourth Proportional to 9,497.93, 13,106.41 and 5,720.29

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Solution

The fourth proportional to 9,497.93, 13,106.41 and 5,720.29 is: 7,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.93 : 13,106.41 = 5,720.29 : x
  2. Step 2: Convert to fraction form
    9,497.93/13,106.41 = 5,720.29/x
  3. Step 3: Cross multiply
    9,497.93x = 13,106.41 × 5,720.29
  4. Step 4: Simplify right side
    9,497.93x = 74,972,418.99
  5. Step 5: Solve for x
    x = 74,972,418.99/9,497.93
  6. Step 6: Final answer
    x = 7,893.56

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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.