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Finding the Fourth Proportional to 9,520.32, 13,138.02 and 5,541.68

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Solution

The fourth proportional to 9,520.32, 13,138.02 and 5,541.68 is: 7,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.32 : 13,138.02 = 5,541.68 : x
  2. Step 2: Convert to fraction form
    9,520.32/13,138.02 = 5,541.68/x
  3. Step 3: Cross multiply
    9,520.32x = 13,138.02 × 5,541.68
  4. Step 4: Simplify right side
    9,520.32x = 72,806,636.98
  5. Step 5: Solve for x
    x = 72,806,636.98/9,520.32
  6. Step 6: Final answer
    x = 7,647.50

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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.