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Finding the Fourth Proportional to 9,639.63, 13,304.12 and 6,103.17

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Solution

The fourth proportional to 9,639.63, 13,304.12 and 6,103.17 is: 8,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.63 : 13,304.12 = 6,103.17 : x
  2. Step 2: Convert to fraction form
    9,639.63/13,304.12 = 6,103.17/x
  3. Step 3: Cross multiply
    9,639.63x = 13,304.12 × 6,103.17
  4. Step 4: Simplify right side
    9,639.63x = 81,197,275.54
  5. Step 5: Solve for x
    x = 81,197,275.54/9,639.63
  6. Step 6: Final answer
    x = 8,423.28

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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.