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Finding the Fourth Proportional to 12,586.89, 17,369.63 and 6,844.22

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Solution

The fourth proportional to 12,586.89, 17,369.63 and 6,844.22 is: 9,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.89 : 17,369.63 = 6,844.22 : x
  2. Step 2: Convert to fraction form
    12,586.89/17,369.63 = 6,844.22/x
  3. Step 3: Cross multiply
    12,586.89x = 17,369.63 × 6,844.22
  4. Step 4: Simplify right side
    12,586.89x = 118,881,595.35
  5. Step 5: Solve for x
    x = 118,881,595.35/12,586.89
  6. Step 6: Final answer
    x = 9,444.87

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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.