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Finding the Fourth Proportional to 9,797.09, 13,510.67 and 6,442.74

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Solution

The fourth proportional to 9,797.09, 13,510.67 and 6,442.74 is: 8,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.09 : 13,510.67 = 6,442.74 : x
  2. Step 2: Convert to fraction form
    9,797.09/13,510.67 = 6,442.74/x
  3. Step 3: Cross multiply
    9,797.09x = 13,510.67 × 6,442.74
  4. Step 4: Simplify right side
    9,797.09x = 87,045,701.82
  5. Step 5: Solve for x
    x = 87,045,701.82/9,797.09
  6. Step 6: Final answer
    x = 8,884.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.