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Finding the Fourth Proportional to 9,634.51, 13,291.86 and 5,600.67

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Solution

The fourth proportional to 9,634.51, 13,291.86 and 5,600.67 is: 7,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.51 : 13,291.86 = 5,600.67 : x
  2. Step 2: Convert to fraction form
    9,634.51/13,291.86 = 5,600.67/x
  3. Step 3: Cross multiply
    9,634.51x = 13,291.86 × 5,600.67
  4. Step 4: Simplify right side
    9,634.51x = 74,443,255.09
  5. Step 5: Solve for x
    x = 74,443,255.09/9,634.51
  6. Step 6: Final answer
    x = 7,726.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.