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Finding the Fourth Proportional to 9,642.36, 14,463.54 and 5,034.36

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Solution

The fourth proportional to 9,642.36, 14,463.54 and 5,034.36 is: 7,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.36 : 14,463.54 = 5,034.36 : x
  2. Step 2: Convert to fraction form
    9,642.36/14,463.54 = 5,034.36/x
  3. Step 3: Cross multiply
    9,642.36x = 14,463.54 × 5,034.36
  4. Step 4: Simplify right side
    9,642.36x = 72,814,667.23
  5. Step 5: Solve for x
    x = 72,814,667.23/9,642.36
  6. Step 6: Final answer
    x = 7,551.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.