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Finding the Fourth Proportional to 9,297.60, 13,946.32 and 6,617.85

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Solution

The fourth proportional to 9,297.60, 13,946.32 and 6,617.85 is: 9,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.60 : 13,946.32 = 6,617.85 : x
  2. Step 2: Convert to fraction form
    9,297.60/13,946.32 = 6,617.85/x
  3. Step 3: Cross multiply
    9,297.60x = 13,946.32 × 6,617.85
  4. Step 4: Simplify right side
    9,297.60x = 92,294,653.81
  5. Step 5: Solve for x
    x = 92,294,653.81/9,297.60
  6. Step 6: Final answer
    x = 9,926.72

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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.