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Finding the Fourth Proportional to 9,636.60, 13,297.50 and 6,051

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Solution

The fourth proportional to 9,636.60, 13,297.50 and 6,051 is: 8,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.60 : 13,297.50 = 6,051 : x
  2. Step 2: Convert to fraction form
    9,636.60/13,297.50 = 6,051/x
  3. Step 3: Cross multiply
    9,636.60x = 13,297.50 × 6,051
  4. Step 4: Simplify right side
    9,636.60x = 80,463,172.50
  5. Step 5: Solve for x
    x = 80,463,172.50/9,636.60
  6. Step 6: Final answer
    x = 8,349.75

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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.