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Finding the Fourth Proportional to 9,971.40, 13,760.03 and 5,495.03

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Solution

The fourth proportional to 9,971.40, 13,760.03 and 5,495.03 is: 7,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.40 : 13,760.03 = 5,495.03 : x
  2. Step 2: Convert to fraction form
    9,971.40/13,760.03 = 5,495.03/x
  3. Step 3: Cross multiply
    9,971.40x = 13,760.03 × 5,495.03
  4. Step 4: Simplify right side
    9,971.40x = 75,611,681.38
  5. Step 5: Solve for x
    x = 75,611,681.38/9,971.40
  6. Step 6: Final answer
    x = 7,582.86

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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.