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Finding the Fourth Proportional to 9,689.36, 13,363.44 and 6,503.28

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Solution

The fourth proportional to 9,689.36, 13,363.44 and 6,503.28 is: 8,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.36 : 13,363.44 = 6,503.28 : x
  2. Step 2: Convert to fraction form
    9,689.36/13,363.44 = 6,503.28/x
  3. Step 3: Cross multiply
    9,689.36x = 13,363.44 × 6,503.28
  4. Step 4: Simplify right side
    9,689.36x = 86,906,192.08
  5. Step 5: Solve for x
    x = 86,906,192.08/9,689.36
  6. Step 6: Final answer
    x = 8,969.24

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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.