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Finding the Fourth Proportional to 9,294.77, 13,937.63 and 6,484.96

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Solution

The fourth proportional to 9,294.77, 13,937.63 and 6,484.96 is: 9,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.77 : 13,937.63 = 6,484.96 : x
  2. Step 2: Convert to fraction form
    9,294.77/13,937.63 = 6,484.96/x
  3. Step 3: Cross multiply
    9,294.77x = 13,937.63 × 6,484.96
  4. Step 4: Simplify right side
    9,294.77x = 90,384,958.04
  5. Step 5: Solve for x
    x = 90,384,958.04/9,294.77
  6. Step 6: Final answer
    x = 9,724.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.