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Finding the Fourth Proportional to 9,739.36, 14,596.32 and 8,503.68

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Solution

The fourth proportional to 9,739.36, 14,596.32 and 8,503.68 is: 12,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.36 : 14,596.32 = 8,503.68 : x
  2. Step 2: Convert to fraction form
    9,739.36/14,596.32 = 8,503.68/x
  3. Step 3: Cross multiply
    9,739.36x = 14,596.32 × 8,503.68
  4. Step 4: Simplify right side
    9,739.36x = 124,122,434.46
  5. Step 5: Solve for x
    x = 124,122,434.46/9,739.36
  6. Step 6: Final answer
    x = 12,744.41

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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.