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Finding the Fourth Proportional to 9,814.01, 14,720.57 and 2,418.53

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Solution

The fourth proportional to 9,814.01, 14,720.57 and 2,418.53 is: 3,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.01 : 14,720.57 = 2,418.53 : x
  2. Step 2: Convert to fraction form
    9,814.01/14,720.57 = 2,418.53/x
  3. Step 3: Cross multiply
    9,814.01x = 14,720.57 × 2,418.53
  4. Step 4: Simplify right side
    9,814.01x = 35,602,128.07
  5. Step 5: Solve for x
    x = 35,602,128.07/9,814.01
  6. Step 6: Final answer
    x = 3,627.68

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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.