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Finding the Fourth Proportional to 9,739.76, 13,438.68 and 6,597.68

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Solution

The fourth proportional to 9,739.76, 13,438.68 and 6,597.68 is: 9,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.76 : 13,438.68 = 6,597.68 : x
  2. Step 2: Convert to fraction form
    9,739.76/13,438.68 = 6,597.68/x
  3. Step 3: Cross multiply
    9,739.76x = 13,438.68 × 6,597.68
  4. Step 4: Simplify right side
    9,739.76x = 88,664,110.26
  5. Step 5: Solve for x
    x = 88,664,110.26/9,739.76
  6. Step 6: Final answer
    x = 9,103.32

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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.