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Finding the Fourth Proportional to 9,632.74, 13,304.15 and 6,483.46

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Solution

The fourth proportional to 9,632.74, 13,304.15 and 6,483.46 is: 8,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.74 : 13,304.15 = 6,483.46 : x
  2. Step 2: Convert to fraction form
    9,632.74/13,304.15 = 6,483.46/x
  3. Step 3: Cross multiply
    9,632.74x = 13,304.15 × 6,483.46
  4. Step 4: Simplify right side
    9,632.74x = 86,256,924.36
  5. Step 5: Solve for x
    x = 86,256,924.36/9,632.74
  6. Step 6: Final answer
    x = 8,954.56

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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.