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Finding the Fourth Proportional to 9,628.72, 14,433.68 and 4,698.16

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Solution

The fourth proportional to 9,628.72, 14,433.68 and 4,698.16 is: 7,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.72 : 14,433.68 = 4,698.16 : x
  2. Step 2: Convert to fraction form
    9,628.72/14,433.68 = 4,698.16/x
  3. Step 3: Cross multiply
    9,628.72x = 14,433.68 × 4,698.16
  4. Step 4: Simplify right side
    9,628.72x = 67,811,738.03
  5. Step 5: Solve for x
    x = 67,811,738.03/9,628.72
  6. Step 6: Final answer
    x = 7,042.65

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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.