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Finding the Fourth Proportional to 9,737.89, 13,431.08 and 7,220.14

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Solution

The fourth proportional to 9,737.89, 13,431.08 and 7,220.14 is: 9,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.89 : 13,431.08 = 7,220.14 : x
  2. Step 2: Convert to fraction form
    9,737.89/13,431.08 = 7,220.14/x
  3. Step 3: Cross multiply
    9,737.89x = 13,431.08 × 7,220.14
  4. Step 4: Simplify right side
    9,737.89x = 96,974,262.42
  5. Step 5: Solve for x
    x = 96,974,262.42/9,737.89
  6. Step 6: Final answer
    x = 9,958.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.