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Finding the Fourth Proportional to 9,938.40, 13,693.36 and 7,419.52

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Solution

The fourth proportional to 9,938.40, 13,693.36 and 7,419.52 is: 10,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.40 : 13,693.36 = 7,419.52 : x
  2. Step 2: Convert to fraction form
    9,938.40/13,693.36 = 7,419.52/x
  3. Step 3: Cross multiply
    9,938.40x = 13,693.36 × 7,419.52
  4. Step 4: Simplify right side
    9,938.40x = 101,598,158.39
  5. Step 5: Solve for x
    x = 101,598,158.39/9,938.40
  6. Step 6: Final answer
    x = 10,222.79

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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.