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Finding the Fourth Proportional to 9,726.51, 14,591.69 and 3,484.85

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Solution

The fourth proportional to 9,726.51, 14,591.69 and 3,484.85 is: 5,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.51 : 14,591.69 = 3,484.85 : x
  2. Step 2: Convert to fraction form
    9,726.51/14,591.69 = 3,484.85/x
  3. Step 3: Cross multiply
    9,726.51x = 14,591.69 × 3,484.85
  4. Step 4: Simplify right side
    9,726.51x = 50,849,760.51
  5. Step 5: Solve for x
    x = 50,849,760.51/9,726.51
  6. Step 6: Final answer
    x = 5,227.96

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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.