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Finding the Fourth Proportional to 9,690.57, 14,536.65 and 4,143.96

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Solution

The fourth proportional to 9,690.57, 14,536.65 and 4,143.96 is: 6,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.57 : 14,536.65 = 4,143.96 : x
  2. Step 2: Convert to fraction form
    9,690.57/14,536.65 = 4,143.96/x
  3. Step 3: Cross multiply
    9,690.57x = 14,536.65 × 4,143.96
  4. Step 4: Simplify right side
    9,690.57x = 60,239,296.13
  5. Step 5: Solve for x
    x = 60,239,296.13/9,690.57
  6. Step 6: Final answer
    x = 6,216.28

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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.