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Finding the Fourth Proportional to 9,796.93, 14,697.88 and 4,535.74

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Solution

The fourth proportional to 9,796.93, 14,697.88 and 4,535.74 is: 6,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.93 : 14,697.88 = 4,535.74 : x
  2. Step 2: Convert to fraction form
    9,796.93/14,697.88 = 4,535.74/x
  3. Step 3: Cross multiply
    9,796.93x = 14,697.88 × 4,535.74
  4. Step 4: Simplify right side
    9,796.93x = 66,665,688.74
  5. Step 5: Solve for x
    x = 66,665,688.74/9,796.93
  6. Step 6: Final answer
    x = 6,804.75

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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.