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Finding the Fourth Proportional to 9,486.72, 13,091.63 and 5,294.97

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Solution

The fourth proportional to 9,486.72, 13,091.63 and 5,294.97 is: 7,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.72 : 13,091.63 = 5,294.97 : x
  2. Step 2: Convert to fraction form
    9,486.72/13,091.63 = 5,294.97/x
  3. Step 3: Cross multiply
    9,486.72x = 13,091.63 × 5,294.97
  4. Step 4: Simplify right side
    9,486.72x = 69,319,761.63
  5. Step 5: Solve for x
    x = 69,319,761.63/9,486.72
  6. Step 6: Final answer
    x = 7,307.03

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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.