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Finding the Fourth Proportional to 9,677.64, 13,339.62 and 6,528.36

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Solution

The fourth proportional to 9,677.64, 13,339.62 and 6,528.36 is: 8,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.64 : 13,339.62 = 6,528.36 : x
  2. Step 2: Convert to fraction form
    9,677.64/13,339.62 = 6,528.36/x
  3. Step 3: Cross multiply
    9,677.64x = 13,339.62 × 6,528.36
  4. Step 4: Simplify right side
    9,677.64x = 87,085,841.62
  5. Step 5: Solve for x
    x = 87,085,841.62/9,677.64
  6. Step 6: Final answer
    x = 8,998.67

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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.