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Finding the Fourth Proportional to 9,628.64, 14,443.47 and 2,703.68

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Solution

The fourth proportional to 9,628.64, 14,443.47 and 2,703.68 is: 4,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.64 : 14,443.47 = 2,703.68 : x
  2. Step 2: Convert to fraction form
    9,628.64/14,443.47 = 2,703.68/x
  3. Step 3: Cross multiply
    9,628.64x = 14,443.47 × 2,703.68
  4. Step 4: Simplify right side
    9,628.64x = 39,050,520.97
  5. Step 5: Solve for x
    x = 39,050,520.97/9,628.64
  6. Step 6: Final answer
    x = 4,055.66

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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.