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Finding the Fourth Proportional to 9,484.97, 13,089.62 and 5,294.03

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Solution

The fourth proportional to 9,484.97, 13,089.62 and 5,294.03 is: 7,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.97 : 13,089.62 = 5,294.03 : x
  2. Step 2: Convert to fraction form
    9,484.97/13,089.62 = 5,294.03/x
  3. Step 3: Cross multiply
    9,484.97x = 13,089.62 × 5,294.03
  4. Step 4: Simplify right side
    9,484.97x = 69,296,840.97
  5. Step 5: Solve for x
    x = 69,296,840.97/9,484.97
  6. Step 6: Final answer
    x = 7,305.96

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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.