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Finding the Fourth Proportional to 9,536.86, 14,307.20 and 3,297.10

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Solution

The fourth proportional to 9,536.86, 14,307.20 and 3,297.10 is: 4,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.86 : 14,307.20 = 3,297.10 : x
  2. Step 2: Convert to fraction form
    9,536.86/14,307.20 = 3,297.10/x
  3. Step 3: Cross multiply
    9,536.86x = 14,307.20 × 3,297.10
  4. Step 4: Simplify right side
    9,536.86x = 47,172,269.12
  5. Step 5: Solve for x
    x = 47,172,269.12/9,536.86
  6. Step 6: Final answer
    x = 4,946.31

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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.