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Finding the Fourth Proportional to 10,679.34, 14,722.66 and 9,202.98

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Solution

The fourth proportional to 10,679.34, 14,722.66 and 9,202.98 is: 12,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.34 : 14,722.66 = 9,202.98 : x
  2. Step 2: Convert to fraction form
    10,679.34/14,722.66 = 9,202.98/x
  3. Step 3: Cross multiply
    10,679.34x = 14,722.66 × 9,202.98
  4. Step 4: Simplify right side
    10,679.34x = 135,492,345.53
  5. Step 5: Solve for x
    x = 135,492,345.53/10,679.34
  6. Step 6: Final answer
    x = 12,687.33

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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.