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Finding the Fourth Proportional to 9,977.64, 13,770.26 and 7,489.32

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Solution

The fourth proportional to 9,977.64, 13,770.26 and 7,489.32 is: 10,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.64 : 13,770.26 = 7,489.32 : x
  2. Step 2: Convert to fraction form
    9,977.64/13,770.26 = 7,489.32/x
  3. Step 3: Cross multiply
    9,977.64x = 13,770.26 × 7,489.32
  4. Step 4: Simplify right side
    9,977.64x = 103,129,883.62
  5. Step 5: Solve for x
    x = 103,129,883.62/9,977.64
  6. Step 6: Final answer
    x = 10,336.10

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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.