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Finding the Fourth Proportional to 9,726.37, 14,575.97 and 7,352.48

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Solution

The fourth proportional to 9,726.37, 14,575.97 and 7,352.48 is: 11,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.37 : 14,575.97 = 7,352.48 : x
  2. Step 2: Convert to fraction form
    9,726.37/14,575.97 = 7,352.48/x
  3. Step 3: Cross multiply
    9,726.37x = 14,575.97 × 7,352.48
  4. Step 4: Simplify right side
    9,726.37x = 107,169,582.73
  5. Step 5: Solve for x
    x = 107,169,582.73/9,726.37
  6. Step 6: Final answer
    x = 11,018.46

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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.