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Finding the Fourth Proportional to 9,726.48, 14,572.92 and 7,659.68

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Solution

The fourth proportional to 9,726.48, 14,572.92 and 7,659.68 is: 11,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.48 : 14,572.92 = 7,659.68 : x
  2. Step 2: Convert to fraction form
    9,726.48/14,572.92 = 7,659.68/x
  3. Step 3: Cross multiply
    9,726.48x = 14,572.92 × 7,659.68
  4. Step 4: Simplify right side
    9,726.48x = 111,623,903.87
  5. Step 5: Solve for x
    x = 111,623,903.87/9,726.48
  6. Step 6: Final answer
    x = 11,476.29

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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.