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Finding the Fourth Proportional to 9,638.28, 14,437.92 and 5,011.56

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Solution

The fourth proportional to 9,638.28, 14,437.92 and 5,011.56 is: 7,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.28 : 14,437.92 = 5,011.56 : x
  2. Step 2: Convert to fraction form
    9,638.28/14,437.92 = 5,011.56/x
  3. Step 3: Cross multiply
    9,638.28x = 14,437.92 × 5,011.56
  4. Step 4: Simplify right side
    9,638.28x = 72,356,502.36
  5. Step 5: Solve for x
    x = 72,356,502.36/9,638.28
  6. Step 6: Final answer
    x = 7,507.20

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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.