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Finding the Fourth Proportional to 8,930.32, 13,367.36 and 6,140.64

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Solution

The fourth proportional to 8,930.32, 13,367.36 and 6,140.64 is: 9,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.32 : 13,367.36 = 6,140.64 : x
  2. Step 2: Convert to fraction form
    8,930.32/13,367.36 = 6,140.64/x
  3. Step 3: Cross multiply
    8,930.32x = 13,367.36 × 6,140.64
  4. Step 4: Simplify right side
    8,930.32x = 82,084,145.51
  5. Step 5: Solve for x
    x = 82,084,145.51/8,930.32
  6. Step 6: Final answer
    x = 9,191.62

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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.