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Finding the Fourth Proportional to 9,797.93, 14,699.38 and 4,536.74

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Solution

The fourth proportional to 9,797.93, 14,699.38 and 4,536.74 is: 6,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.93 : 14,699.38 = 4,536.74 : x
  2. Step 2: Convert to fraction form
    9,797.93/14,699.38 = 4,536.74/x
  3. Step 3: Cross multiply
    9,797.93x = 14,699.38 × 4,536.74
  4. Step 4: Simplify right side
    9,797.93x = 66,687,265.22
  5. Step 5: Solve for x
    x = 66,687,265.22/9,797.93
  6. Step 6: Final answer
    x = 6,806.26

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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.