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Finding the Fourth Proportional to 9,812.24, 14,720.52 and 9,381.68

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Solution

The fourth proportional to 9,812.24, 14,720.52 and 9,381.68 is: 14,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.24 : 14,720.52 = 9,381.68 : x
  2. Step 2: Convert to fraction form
    9,812.24/14,720.52 = 9,381.68/x
  3. Step 3: Cross multiply
    9,812.24x = 14,720.52 × 9,381.68
  4. Step 4: Simplify right side
    9,812.24x = 138,103,208.07
  5. Step 5: Solve for x
    x = 138,103,208.07/9,812.24
  6. Step 6: Final answer
    x = 14,074.59

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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.