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Finding the Fourth Proportional to 9,652.32, 13,322.16 and 5,461.92

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Solution

The fourth proportional to 9,652.32, 13,322.16 and 5,461.92 is: 7,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.32 : 13,322.16 = 5,461.92 : x
  2. Step 2: Convert to fraction form
    9,652.32/13,322.16 = 5,461.92/x
  3. Step 3: Cross multiply
    9,652.32x = 13,322.16 × 5,461.92
  4. Step 4: Simplify right side
    9,652.32x = 72,764,572.15
  5. Step 5: Solve for x
    x = 72,764,572.15/9,652.32
  6. Step 6: Final answer
    x = 7,538.56

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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.