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Finding the Fourth Proportional to 9,632.46, 13,288.86 and 7,635

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Solution

The fourth proportional to 9,632.46, 13,288.86 and 7,635 is: 10,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.46 : 13,288.86 = 7,635 : x
  2. Step 2: Convert to fraction form
    9,632.46/13,288.86 = 7,635/x
  3. Step 3: Cross multiply
    9,632.46x = 13,288.86 × 7,635
  4. Step 4: Simplify right side
    9,632.46x = 101,460,446.10
  5. Step 5: Solve for x
    x = 101,460,446.10/9,632.46
  6. Step 6: Final answer
    x = 10,533.18

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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.