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Finding the Fourth Proportional to 7,134.40, 9,849.36 and 4,302.28

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Solution

The fourth proportional to 7,134.40, 9,849.36 and 4,302.28 is: 5,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.40 : 9,849.36 = 4,302.28 : x
  2. Step 2: Convert to fraction form
    7,134.40/9,849.36 = 4,302.28/x
  3. Step 3: Cross multiply
    7,134.40x = 9,849.36 × 4,302.28
  4. Step 4: Simplify right side
    7,134.40x = 42,374,704.54
  5. Step 5: Solve for x
    x = 42,374,704.54/7,134.40
  6. Step 6: Final answer
    x = 5,939.49

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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.