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Finding the Fourth Proportional to 9,812.14, 14,720.37 and 4,266.34

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Solution

The fourth proportional to 9,812.14, 14,720.37 and 4,266.34 is: 6,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.14 : 14,720.37 = 4,266.34 : x
  2. Step 2: Convert to fraction form
    9,812.14/14,720.37 = 4,266.34/x
  3. Step 3: Cross multiply
    9,812.14x = 14,720.37 × 4,266.34
  4. Step 4: Simplify right side
    9,812.14x = 62,802,103.35
  5. Step 5: Solve for x
    x = 62,802,103.35/9,812.14
  6. Step 6: Final answer
    x = 6,400.45

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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.