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Finding the Fourth Proportional to 10,464.42, 14,444.09 and 6,216.17

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Solution

The fourth proportional to 10,464.42, 14,444.09 and 6,216.17 is: 8,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.42 : 14,444.09 = 6,216.17 : x
  2. Step 2: Convert to fraction form
    10,464.42/14,444.09 = 6,216.17/x
  3. Step 3: Cross multiply
    10,464.42x = 14,444.09 × 6,216.17
  4. Step 4: Simplify right side
    10,464.42x = 89,786,918.94
  5. Step 5: Solve for x
    x = 89,786,918.94/10,464.42
  6. Step 6: Final answer
    x = 8,580.21

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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.