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Finding the Fourth Proportional to 9,632.32, 13,271.85 and 6,483.04

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Solution

The fourth proportional to 9,632.32, 13,271.85 and 6,483.04 is: 8,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.32 : 13,271.85 = 6,483.04 : x
  2. Step 2: Convert to fraction form
    9,632.32/13,271.85 = 6,483.04/x
  3. Step 3: Cross multiply
    9,632.32x = 13,271.85 × 6,483.04
  4. Step 4: Simplify right side
    9,632.32x = 86,041,901.24
  5. Step 5: Solve for x
    x = 86,041,901.24/9,632.32
  6. Step 6: Final answer
    x = 8,932.63

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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.