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Finding the Fourth Proportional to 6,455.60, 9,683.40 and 2,992.04

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Solution

The fourth proportional to 6,455.60, 9,683.40 and 2,992.04 is: 4,488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.60 : 9,683.40 = 2,992.04 : x
  2. Step 2: Convert to fraction form
    6,455.60/9,683.40 = 2,992.04/x
  3. Step 3: Cross multiply
    6,455.60x = 9,683.40 × 2,992.04
  4. Step 4: Simplify right side
    6,455.60x = 28,973,120.14
  5. Step 5: Solve for x
    x = 28,973,120.14/6,455.60
  6. Step 6: Final answer
    x = 4,488.06

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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.