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Finding the Fourth Proportional to 9,652.32, 13,382.64 and 9,328.32

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Solution

The fourth proportional to 9,652.32, 13,382.64 and 9,328.32 is: 12,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.32 : 13,382.64 = 9,328.32 : x
  2. Step 2: Convert to fraction form
    9,652.32/13,382.64 = 9,328.32/x
  3. Step 3: Cross multiply
    9,652.32x = 13,382.64 × 9,328.32
  4. Step 4: Simplify right side
    9,652.32x = 124,837,548.36
  5. Step 5: Solve for x
    x = 124,837,548.36/9,652.32
  6. Step 6: Final answer
    x = 12,933.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.