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Finding the Fourth Proportional to 12,464.42, 17,200.96 and 6,875.42

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Solution

The fourth proportional to 12,464.42, 17,200.96 and 6,875.42 is: 9,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.42 : 17,200.96 = 6,875.42 : x
  2. Step 2: Convert to fraction form
    12,464.42/17,200.96 = 6,875.42/x
  3. Step 3: Cross multiply
    12,464.42x = 17,200.96 × 6,875.42
  4. Step 4: Simplify right side
    12,464.42x = 118,263,824.40
  5. Step 5: Solve for x
    x = 118,263,824.40/12,464.42
  6. Step 6: Final answer
    x = 9,488.11

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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.