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Finding the Fourth Proportional to 9,691.36, 13,366.20 and 6,505.28

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Solution

The fourth proportional to 9,691.36, 13,366.20 and 6,505.28 is: 8,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.36 : 13,366.20 = 6,505.28 : x
  2. Step 2: Convert to fraction form
    9,691.36/13,366.20 = 6,505.28/x
  3. Step 3: Cross multiply
    9,691.36x = 13,366.20 × 6,505.28
  4. Step 4: Simplify right side
    9,691.36x = 86,950,873.54
  5. Step 5: Solve for x
    x = 86,950,873.54/9,691.36
  6. Step 6: Final answer
    x = 8,972.00

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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.