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Finding the Fourth Proportional to 9,660.72, 13,330.70 and 5,411.20

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Solution

The fourth proportional to 9,660.72, 13,330.70 and 5,411.20 is: 7,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.72 : 13,330.70 = 5,411.20 : x
  2. Step 2: Convert to fraction form
    9,660.72/13,330.70 = 5,411.20/x
  3. Step 3: Cross multiply
    9,660.72x = 13,330.70 × 5,411.20
  4. Step 4: Simplify right side
    9,660.72x = 72,135,083.84
  5. Step 5: Solve for x
    x = 72,135,083.84/9,660.72
  6. Step 6: Final answer
    x = 7,466.84

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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.